Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
A pakliról
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.
Kártyák ebben a pakliban
1. kártya
Kérdés
In a fraction of one whole, what does the denominator count?
Válasz
The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.
2. kártya
Kérdés
What does percent mean?
Válasz
Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
3. kártya
Kérdés
In 0.6, what place does the digit 6 occupy?
Válasz
The tenths place. Its value is 6/10.
4. kártya
Kérdés
How do you reduce a fraction to simplest form?
Válasz
Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.
5. kártya
Kérdés
Fraction → decimal: which division do you calculate?
Válasz
Numerator ÷ denominator. The denominator must be nonzero.
6. kártya
Kérdés
How do you turn a terminating decimal into a fraction?
Válasz
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. kártya
Kérdés
In 3/7 of one whole, what does the numerator count?
Válasz
Three of the seven equal parts.
8. kártya
Kérdés
Percent → decimal: what do you do with the number before %?
Válasz
Divide it by 100 and remove the % sign.
9. kártya
Kérdés
Does writing 0.60 instead of 0.6 change the numerical value?
Válasz
No. Both equal six tenths. A trailing zero after the decimal does not change the value.
10. kártya
Kérdés
What does the mixed number 2 3/5 mean?
Válasz
2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.
11. kártya
Kérdés
Fraction → percent: how do you find the number before %?
Válasz
Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.
12. kártya
Kérdés
Decimal → percent: how do you find the number before %?
Válasz
Multiply the decimal by 100, then attach the % sign.
13. kártya
Kérdés
In 0.47, what is the value of the digit 7?
Válasz
7/100, or 0.07. The 7 is in the hundredths place.
14. kártya
Kérdés
Percent → fraction: what denominator does % supply?
Válasz
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. kártya
Kérdés
1/2 as a decimal?
Válasz
0.5. One divided by two is five tenths.
16. kártya
Kérdés
1/5 as a percentage?
Válasz
20%. Multiply numerator and denominator by 20 to get 20/100.
17. kártya
Kérdés
3/4 as a decimal?
Válasz
0.75. Three divided by four is seventy-five hundredths.
18. kártya
Kérdés
1/10 as a percentage?
Válasz
10%. One tenth is ten hundredths.
19. kártya
Kérdés
1/4 as a percentage?
Válasz
25%. Four equal quarters each account for 25 out of 100.
20. kártya
Kérdés
50% as a fraction in simplest form?
Válasz
1/2. Reduce 50/100 by dividing both parts by 50.
21. kártya
Kérdés
3/5 as a decimal?
Válasz
0.6. Multiply both parts by 2: 3/5 = 6/10.
22. kártya
Kérdés
0.2 as a fraction in simplest form?
Válasz
1/5. Reduce 2/10 by dividing both parts by 2.
23. kártya
Kérdés
1/8 as a decimal?
Válasz
0.125. One divided by eight terminates after three decimal places.
24. kártya
Kérdés
75% as a fraction in simplest form?
Válasz
3/4. Reduce 75/100 by dividing both parts by 25.
25. kártya
Kérdés
4/5 as a percentage?
Válasz
80%. Each fifth is 20%, so four fifths is 80%.
26. kártya
Kérdés
0.1 as a fraction in simplest form?
Válasz
1/10. The 1 is in the tenths place.
27. kártya
Kérdés
1/20 as a decimal?
Válasz
0.05. Multiply both parts by 5: 1/20 = 5/100.
28. kártya
Kérdés
0.25 as a fraction in simplest form?
Válasz
1/4. Reduce 25/100 by dividing both parts by 25.
29. kártya
Kérdés
60% as a fraction in simplest form?
Válasz
3/5. Reduce 60/100 by dividing both parts by 20.
30. kártya
Kérdés
5/8 as a percentage?
Válasz
62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
31. kártya
Kérdés
12.5% as a fraction in simplest form?
Válasz
1/8. Write 12.5/100 = 125/1,000, then simplify.
32. kártya
Kérdés
3/8 as a decimal?
Válasz
0.375. Three divided by eight is 375 thousandths.
33. kártya
Kérdés
0.8 as a fraction in simplest form?
Válasz
4/5. Reduce 8/10 by dividing both parts by 2.
34. kártya
Kérdés
1/25 as a percentage?
Válasz
4%. Multiply numerator and denominator by 4 to get 4/100.
35. kártya
Kérdés
5% as a fraction in simplest form?
Válasz
1/20. Reduce 5/100 by dividing both parts by 5.
36. kártya
Kérdés
2/5 as a decimal?
Válasz
0.4. Multiply both parts by 2: 2/5 = 4/10.
37. kártya
Kérdés
0.625 as a fraction in simplest form?
Válasz
5/8. Reduce 625/1,000 by dividing both parts by 125.
38. kártya
Kérdés
7/8 as a percentage?
Válasz
87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
39. kártya
Kérdés
37.5% as a fraction in simplest form?
Válasz
3/8. Write 37.5/100 = 375/1,000, then simplify.
40. kártya
Kérdés
3/20 as a decimal?
Válasz
0.15. Multiply both parts by 5: 3/20 = 15/100.
41. kártya
Kérdés
0.04 as a fraction in simplest form?
Válasz
1/25. Reduce 4/100 by dividing both parts by 4.
42. kártya
Kérdés
40% as a fraction in simplest form?
Válasz
2/5. Reduce 40/100 by dividing both parts by 20.
43. kártya
Kérdés
0.875 as a fraction in simplest form?
Válasz
7/8. Reduce 875/1,000 by dividing both parts by 125.
44. kártya
Kérdés
15% as a fraction in simplest form?
Válasz
3/20. Reduce 15/100 by dividing both parts by 5.
45. kártya
Kérdés
5/4 as a decimal?
Válasz
1.25. One whole plus one quarter is 1 + 0.25.
46. kártya
Kérdés
0.6% as a decimal?
Válasz
0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
47. kártya
Kérdés
What distinguishes a repeating decimal from a terminating decimal?
Válasz
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. kártya
Kérdés
2.5 as a percentage?
Válasz
250%. Multiply 2.5 by 100 and attach %.
49. kártya
Kérdés
0% as a decimal?
Válasz
0
Zero divided by 100 is zero.
50. kártya
Kérdés
1/3 as an exact decimal?
Válasz
0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
51. kártya
Kérdés
125% as a fraction in simplest form?
Válasz
5/4. Reduce 125/100; the result exceeds one whole.
52. kártya
Kérdés
1 3/4 as a percentage?
Válasz
175%. Convert the mixed number to 1.75, then multiply by 100.
53. kártya
Kérdés
2/3 as an exact percentage?
Válasz
66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.
54. kártya
Kérdés
0.006 as a percentage?
Válasz
0.6%. Multiply 0.006 by 100 and attach %.
55. kártya
Kérdés
1/6 as a decimal, rounded to three decimal places?
Válasz
0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.
56. kártya
Kérdés
0.333… (3 repeats forever) as a fraction in simplest form?
Válasz
1/3. This is exact; 0.333 without the repeating tail is a different number.
57. kártya
Kérdés
1 as a percentage?
Válasz
100%. One whole corresponds to 100 out of 100.
58. kártya
Kérdés
2/3 as a percentage, rounded to one decimal place?
Válasz
66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.
59. kártya
Kérdés
1/12 as an exact percentage?
Válasz
8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
60. kártya
Kérdés
0.333 as a fraction in simplest form?
Válasz
333/1,000. It ends after three decimal places and is not exactly 1/3.
61. kártya
Kérdés
How can you compare a fraction, a decimal, and a percentage on one scale?
Válasz
Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.
62. kártya
Kérdés
Which is larger: 7/20 or 34%?
Válasz
7/20. It equals 0.35, while 34% equals 0.34.
63. kártya
Kérdés
Which is larger: 0.09 or 0.1?
Válasz
0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
64. kártya
Kérdés
Are 9/20 and 45% equal?
Válasz
Yes. 9/20 = 45/100 = 45%.
65. kártya
Kérdés
Which is larger: 0.5% or 0.05?
Válasz
0.05. The other value, 0.5%, equals 0.005.
66. kártya
Kérdés
Order from smallest to largest: 0.58, 3/5, 59%.
Válasz
0.58 < 59% < 3/5. As decimals, they are 0.58, 0.59, and 0.60.
67. kártya
Kérdés
Which is larger: 130% or 1 1/4?
Válasz
130%. It equals 1.3, while 1 1/4 equals 1.25.
68. kártya
Kérdés
Which is larger: 1/3 or 33.3%?
Válasz
1/3. The percentage equals exactly 0.333, while 1/3 = 0.333… with 3 repeating forever.
69. kártya
Kérdés
Which is larger: 3/8 or 38%?
Válasz
38%. The fraction equals 0.375, while 38% equals 0.38.
70. kártya
Kérdés
Which is larger: 17/20 or 0.84?
Válasz
17/20. It equals 0.85, which is greater than 0.84.
71. kártya
Kérdés
How do you calculate p% of an amount A?
Válasz
(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
72. kártya
Kérdés
12% of 150?
Válasz
18
Calculate 0.12 × 150.
73. kártya
Kérdés
How do you find what percentage a part is of a nonzero whole?
Válasz
(part ÷ whole) × 100%. Divide by the whole, not by the part.
74. kártya
Kérdés
A 20% discount leaves what percentage of the original price to pay?
Válasz
80%. Subtract the discount from 100%.
75. kártya
Kérdés
150% of 40?
Válasz
60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
76. kártya
Kérdés
30 is 15% of what number?
Válasz
200
Divide the part by the decimal percentage: 30 ÷ 0.15.
77. kártya
Kérdés
18 out of 72 is what percentage?
Válasz
25%. Calculate (18 ÷ 72) × 100%.
78. kártya
Kérdés
0.5% of 600?
Válasz
3
Calculate 0.005 × 600.
79. kártya
Kérdés
To convert 2/7 to a decimal, a learner calculates 7 ÷ 2. What must change?
Válasz
Use 2 ÷ 7. The numerator is divided by the denominator, in that order.
80. kártya
Kérdés
A learner writes 0.42 = 0.42%. What is the correct percentage?
Válasz
42%. Multiply the decimal by 100 before adding %; 0.42% would equal 0.0042.
81. kártya
Kérdés
A learner writes 0.018 = 18/100. What is the correct simplest fraction?
Válasz
9/500. Three decimal places give 18/1,000, which simplifies to 9/500.
82. kártya
Kérdés
Why is “a percentage cannot exceed 100%” incorrect?
Válasz
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. kártya
Kérdés
A learner reduces 12/20 to 6/20. What is the correct simplest fraction?
Válasz
3/5. Divide both numerator and denominator by 4. Changing only the numerator changes the value.
84. kártya
Kérdés
A learner rounds 1/6 to 0.17 before converting to percent. What is 1/6 as a percentage to one decimal place?
Válasz
16.7%. Convert the exact fraction first: (1/6) × 100 = 16.666… before attaching %. Round only the final percentage.
85. kártya
Kérdés
For the same whole, why is 1/9 smaller than 1/6?
Válasz
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. kártya
Kérdés
Why can 10% of 80 and 10% of 200 be different amounts?
Válasz
The reference whole is different. They are 8 and 20 respectively, even though the percentage is the same.
86 kártya
Fractions, Decimals & Percentages Flashcards
A Nibomo megnyílik, és elkezdheted a tanulást.