Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
Par šo kavu
Practice 86 English flashcards on fractions, decimals, and percentages. Build fluent recall of common equivalents, then use that knowledge to compare values, calculate short percentage problems, and spot conversion mistakes.
The cards teach all six conversion procedures: fraction to decimal, fraction to percentage, decimal to fraction, decimal to percentage, percentage to fraction, and percentage to decimal. Fifteen familiar proper fractions have a decimal or percentage prompt plus a separate recall prompt that returns to the fraction from one of those forms. The set adds mixed numbers, values above one, percentages below 1% and above 100%, and selected repeating-decimal equivalents. Exact answers and rounded answers are distinguished, with the required precision stated on each rounding prompt.
Comparisons ask you to choose the larger value, recognize equality, or order three mixed representations. Short applications practice percentage of an amount, part as a percentage of a whole, recovering a whole from a known percentage, and the percentage left after a discount. Error cards check division direction, place value, simplification, percentage notation, premature rounding, and the reference whole.
Learn the notation and conversion methods first. Familiar equivalents come next, with related prompts separated, followed by extended conversions, comparisons, and applications. Say or write the answer before turning the card, then work fresh problems outside the deck. Each card has one short retrieval task and an answer with brief reasoning.
This is focused foundational practice for secondary-school and adult learners. It does not include every possible direction for every number: selected reverse prompts give useful retrieval practice without a full permutation table. Negative-number ordering, full fraction arithmetic, recurring-decimal algebra, ratio and unit conversions, dosage calculations, and long multistep exercises are outside its scope. It is not a complete course or exam preparation program.
Questions, answers, examples, sequence, and metadata were independently authored with AI assistance. Arithmetic was checked directly; general definitions were cross-checked against freely available decimal, percentage, and repeating-decimal references. No textbook, examination, or competitor-deck wording or diagrams were copied. Mathematical facts are common knowledge. The original text and generated cover are released under CC0 1.0 to the extent applicable rights exist. This is an independent resource, unaffiliated with any school or examination provider.
Kartītes šajā kavā
1. kartīte
Jautājums
In a fraction of one whole, what does the denominator count?
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The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.
2. kartīte
Jautājums
What does percent mean?
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Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
3. kartīte
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In 0.6, what place does the digit 6 occupy?
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The tenths place. Its value is 6/10.
4. kartīte
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How do you reduce a fraction to simplest form?
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Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.
5. kartīte
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Fraction → decimal: which division do you calculate?
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Numerator ÷ denominator. The denominator must be nonzero.
6. kartīte
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How do you turn a terminating decimal into a fraction?
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Use place value: write the digits over 10, 100, 1,000, and so on, then simplify. For example, 0.032 = 32/1,000 = 4/125.
7. kartīte
Jautājums
In 3/7 of one whole, what does the numerator count?
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Three of the seven equal parts.
8. kartīte
Jautājums
Percent → decimal: what do you do with the number before %?
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Divide it by 100 and remove the % sign.
9. kartīte
Jautājums
Does writing 0.60 instead of 0.6 change the numerical value?
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No. Both equal six tenths. A trailing zero after the decimal does not change the value.
10. kartīte
Jautājums
What does the mixed number 2 3/5 mean?
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2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.
11. kartīte
Jautājums
Fraction → percent: how do you find the number before %?
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Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.
12. kartīte
Jautājums
Decimal → percent: how do you find the number before %?
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Multiply the decimal by 100, then attach the % sign.
13. kartīte
Jautājums
In 0.47, what is the value of the digit 7?
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7/100, or 0.07. The 7 is in the hundredths place.
14. kartīte
Jautājums
Percent → fraction: what denominator does % supply?
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100
Put the number before % over 100. If the numerator has a decimal, multiply both parts by the same power of 10 to get integers, then simplify.
15. kartīte
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1/2 as a decimal?
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0.5. One divided by two is five tenths.
16. kartīte
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1/5 as a percentage?
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20%. Multiply numerator and denominator by 20 to get 20/100.
17. kartīte
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3/4 as a decimal?
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0.75. Three divided by four is seventy-five hundredths.
18. kartīte
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1/10 as a percentage?
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10%. One tenth is ten hundredths.
19. kartīte
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1/4 as a percentage?
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25%. Four equal quarters each account for 25 out of 100.
20. kartīte
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50% as a fraction in simplest form?
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1/2. Reduce 50/100 by dividing both parts by 50.
21. kartīte
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3/5 as a decimal?
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0.6. Multiply both parts by 2: 3/5 = 6/10.
22. kartīte
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0.2 as a fraction in simplest form?
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1/5. Reduce 2/10 by dividing both parts by 2.
23. kartīte
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1/8 as a decimal?
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0.125. One divided by eight terminates after three decimal places.
24. kartīte
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75% as a fraction in simplest form?
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3/4. Reduce 75/100 by dividing both parts by 25.
25. kartīte
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4/5 as a percentage?
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80%. Each fifth is 20%, so four fifths is 80%.
26. kartīte
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0.1 as a fraction in simplest form?
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1/10. The 1 is in the tenths place.
27. kartīte
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1/20 as a decimal?
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0.05. Multiply both parts by 5: 1/20 = 5/100.
28. kartīte
Jautājums
0.25 as a fraction in simplest form?
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1/4. Reduce 25/100 by dividing both parts by 25.
29. kartīte
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60% as a fraction in simplest form?
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3/5. Reduce 60/100 by dividing both parts by 20.
30. kartīte
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5/8 as a percentage?
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62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
31. kartīte
Jautājums
12.5% as a fraction in simplest form?
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1/8. Write 12.5/100 = 125/1,000, then simplify.
32. kartīte
Jautājums
3/8 as a decimal?
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0.375. Three divided by eight is 375 thousandths.
33. kartīte
Jautājums
0.8 as a fraction in simplest form?
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4/5. Reduce 8/10 by dividing both parts by 2.
34. kartīte
Jautājums
1/25 as a percentage?
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4%. Multiply numerator and denominator by 4 to get 4/100.
35. kartīte
Jautājums
5% as a fraction in simplest form?
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1/20. Reduce 5/100 by dividing both parts by 5.
36. kartīte
Jautājums
2/5 as a decimal?
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0.4. Multiply both parts by 2: 2/5 = 4/10.
37. kartīte
Jautājums
0.625 as a fraction in simplest form?
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5/8. Reduce 625/1,000 by dividing both parts by 125.
38. kartīte
Jautājums
7/8 as a percentage?
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87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
39. kartīte
Jautājums
37.5% as a fraction in simplest form?
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3/8. Write 37.5/100 = 375/1,000, then simplify.
40. kartīte
Jautājums
3/20 as a decimal?
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0.15. Multiply both parts by 5: 3/20 = 15/100.
41. kartīte
Jautājums
0.04 as a fraction in simplest form?
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1/25. Reduce 4/100 by dividing both parts by 4.
42. kartīte
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40% as a fraction in simplest form?
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2/5. Reduce 40/100 by dividing both parts by 20.
43. kartīte
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0.875 as a fraction in simplest form?
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7/8. Reduce 875/1,000 by dividing both parts by 125.
44. kartīte
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15% as a fraction in simplest form?
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3/20. Reduce 15/100 by dividing both parts by 5.
45. kartīte
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5/4 as a decimal?
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1.25. One whole plus one quarter is 1 + 0.25.
46. kartīte
Jautājums
0.6% as a decimal?
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0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
47. kartīte
Jautājums
What distinguishes a repeating decimal from a terminating decimal?
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A repeating decimal continues with a fixed digit or block of digits repeating forever, such as 0.272727… . A terminating decimal can be written with finitely many decimal places.
48. kartīte
Jautājums
2.5 as a percentage?
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250%. Multiply 2.5 by 100 and attach %.
49. kartīte
Jautājums
0% as a decimal?
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0
Zero divided by 100 is zero.
50. kartīte
Jautājums
1/3 as an exact decimal?
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0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
51. kartīte
Jautājums
125% as a fraction in simplest form?
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5/4. Reduce 125/100; the result exceeds one whole.
52. kartīte
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1 3/4 as a percentage?
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175%. Convert the mixed number to 1.75, then multiply by 100.
53. kartīte
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2/3 as an exact percentage?
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66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.
54. kartīte
Jautājums
0.006 as a percentage?
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0.6%. Multiply 0.006 by 100 and attach %.
55. kartīte
Jautājums
1/6 as a decimal, rounded to three decimal places?
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0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.
56. kartīte
Jautājums
0.333… (3 repeats forever) as a fraction in simplest form?
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1/3. This is exact; 0.333 without the repeating tail is a different number.
57. kartīte
Jautājums
1 as a percentage?
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100%. One whole corresponds to 100 out of 100.
58. kartīte
Jautājums
2/3 as a percentage, rounded to one decimal place?
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66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.
59. kartīte
Jautājums
1/12 as an exact percentage?
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8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
60. kartīte
Jautājums
0.333 as a fraction in simplest form?
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333/1,000. It ends after three decimal places and is not exactly 1/3.
61. kartīte
Jautājums
How can you compare a fraction, a decimal, and a percentage on one scale?
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Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.
62. kartīte
Jautājums
Which is larger: 7/20 or 34%?
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7/20. It equals 0.35, while 34% equals 0.34.
63. kartīte
Jautājums
Which is larger: 0.09 or 0.1?
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0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
64. kartīte
Jautājums
Are 9/20 and 45% equal?
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Yes. 9/20 = 45/100 = 45%.
65. kartīte
Jautājums
Which is larger: 0.5% or 0.05?
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0.05. The other value, 0.5%, equals 0.005.
66. kartīte
Jautājums
Order from smallest to largest: 0.58, 3/5, 59%.
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0.58 < 59% < 3/5. As decimals, they are 0.58, 0.59, and 0.60.
67. kartīte
Jautājums
Which is larger: 130% or 1 1/4?
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130%. It equals 1.3, while 1 1/4 equals 1.25.
68. kartīte
Jautājums
Which is larger: 1/3 or 33.3%?
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1/3. The percentage equals exactly 0.333, while 1/3 = 0.333… with 3 repeating forever.
69. kartīte
Jautājums
Which is larger: 3/8 or 38%?
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38%. The fraction equals 0.375, while 38% equals 0.38.
70. kartīte
Jautājums
Which is larger: 17/20 or 0.84?
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17/20. It equals 0.85, which is greater than 0.84.
71. kartīte
Jautājums
How do you calculate p% of an amount A?
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(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
72. kartīte
Jautājums
12% of 150?
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18
Calculate 0.12 × 150.
73. kartīte
Jautājums
How do you find what percentage a part is of a nonzero whole?
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(part ÷ whole) × 100%. Divide by the whole, not by the part.
74. kartīte
Jautājums
A 20% discount leaves what percentage of the original price to pay?
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80%. Subtract the discount from 100%.
75. kartīte
Jautājums
150% of 40?
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60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
76. kartīte
Jautājums
30 is 15% of what number?
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200
Divide the part by the decimal percentage: 30 ÷ 0.15.
77. kartīte
Jautājums
18 out of 72 is what percentage?
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25%. Calculate (18 ÷ 72) × 100%.
78. kartīte
Jautājums
0.5% of 600?
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3
Calculate 0.005 × 600.
79. kartīte
Jautājums
To convert 2/7 to a decimal, a learner calculates 7 ÷ 2. What must change?
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Use 2 ÷ 7. The numerator is divided by the denominator, in that order.
80. kartīte
Jautājums
A learner writes 0.42 = 0.42%. What is the correct percentage?
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42%. Multiply the decimal by 100 before adding %; 0.42% would equal 0.0042.
81. kartīte
Jautājums
A learner writes 0.018 = 18/100. What is the correct simplest fraction?
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9/500. Three decimal places give 18/1,000, which simplifies to 9/500.
82. kartīte
Jautājums
Why is “a percentage cannot exceed 100%” incorrect?
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100% is one reference whole, and an amount can exceed it. For example, 160% of a positive amount is 1.6 times that amount.
83. kartīte
Jautājums
A learner reduces 12/20 to 6/20. What is the correct simplest fraction?
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3/5. Divide both numerator and denominator by 4. Changing only the numerator changes the value.
84. kartīte
Jautājums
A learner rounds 1/6 to 0.17 before converting to percent. What is 1/6 as a percentage to one decimal place?
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16.7%. Convert the exact fraction first: (1/6) × 100 = 16.666… before attaching %. Round only the final percentage.
85. kartīte
Jautājums
For the same whole, why is 1/9 smaller than 1/6?
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Nine equal parts make each part smaller than six equal parts. With the same positive numerator, a larger positive denominator gives a smaller fraction.
86. kartīte
Jautājums
Why can 10% of 80 and 10% of 200 be different amounts?
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The reference whole is different. They are 8 and 20 respectively, even though the percentage is the same.
86 kartītes
Fractions, Decimals & Percentages Flashcards
Atvērsies Nibomo, lai vari sākt mācīties.