Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
Despre acest pachet
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.
Fișele din acest pachet
Fișa 1
Întrebare
In a fraction of one whole, what does the denominator count?
Răspuns
The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.
Fișa 2
Întrebare
What does percent mean?
Răspuns
Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
Fișa 3
Întrebare
In 0.6, what place does the digit 6 occupy?
Răspuns
The tenths place. Its value is 6/10.
Fișa 4
Întrebare
How do you reduce a fraction to simplest form?
Răspuns
Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.
Fișa 5
Întrebare
Fraction → decimal: which division do you calculate?
Răspuns
Numerator ÷ denominator. The denominator must be nonzero.
Fișa 6
Întrebare
How do you turn a terminating decimal into a fraction?
Răspuns
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.
Fișa 7
Întrebare
In 3/7 of one whole, what does the numerator count?
Răspuns
Three of the seven equal parts.
Fișa 8
Întrebare
Percent → decimal: what do you do with the number before %?
Răspuns
Divide it by 100 and remove the % sign.
Fișa 9
Întrebare
Does writing 0.60 instead of 0.6 change the numerical value?
Răspuns
No. Both equal six tenths. A trailing zero after the decimal does not change the value.
Fișa 10
Întrebare
What does the mixed number 2 3/5 mean?
Răspuns
2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.
Fișa 11
Întrebare
Fraction → percent: how do you find the number before %?
Răspuns
Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.
Fișa 12
Întrebare
Decimal → percent: how do you find the number before %?
Răspuns
Multiply the decimal by 100, then attach the % sign.
Fișa 13
Întrebare
In 0.47, what is the value of the digit 7?
Răspuns
7/100, or 0.07. The 7 is in the hundredths place.
Fișa 14
Întrebare
Percent → fraction: what denominator does % supply?
Răspuns
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.
Fișa 15
Întrebare
1/2 as a decimal?
Răspuns
0.5. One divided by two is five tenths.
Fișa 16
Întrebare
1/5 as a percentage?
Răspuns
20%. Multiply numerator and denominator by 20 to get 20/100.
Fișa 17
Întrebare
3/4 as a decimal?
Răspuns
0.75. Three divided by four is seventy-five hundredths.
Fișa 18
Întrebare
1/10 as a percentage?
Răspuns
10%. One tenth is ten hundredths.
Fișa 19
Întrebare
1/4 as a percentage?
Răspuns
25%. Four equal quarters each account for 25 out of 100.
Fișa 20
Întrebare
50% as a fraction in simplest form?
Răspuns
1/2. Reduce 50/100 by dividing both parts by 50.
Fișa 21
Întrebare
3/5 as a decimal?
Răspuns
0.6. Multiply both parts by 2: 3/5 = 6/10.
Fișa 22
Întrebare
0.2 as a fraction in simplest form?
Răspuns
1/5. Reduce 2/10 by dividing both parts by 2.
Fișa 23
Întrebare
1/8 as a decimal?
Răspuns
0.125. One divided by eight terminates after three decimal places.
Fișa 24
Întrebare
75% as a fraction in simplest form?
Răspuns
3/4. Reduce 75/100 by dividing both parts by 25.
Fișa 25
Întrebare
4/5 as a percentage?
Răspuns
80%. Each fifth is 20%, so four fifths is 80%.
Fișa 26
Întrebare
0.1 as a fraction in simplest form?
Răspuns
1/10. The 1 is in the tenths place.
Fișa 27
Întrebare
1/20 as a decimal?
Răspuns
0.05. Multiply both parts by 5: 1/20 = 5/100.
Fișa 28
Întrebare
0.25 as a fraction in simplest form?
Răspuns
1/4. Reduce 25/100 by dividing both parts by 25.
Fișa 29
Întrebare
60% as a fraction in simplest form?
Răspuns
3/5. Reduce 60/100 by dividing both parts by 20.
Fișa 30
Întrebare
5/8 as a percentage?
Răspuns
62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
Fișa 31
Întrebare
12.5% as a fraction in simplest form?
Răspuns
1/8. Write 12.5/100 = 125/1,000, then simplify.
Fișa 32
Întrebare
3/8 as a decimal?
Răspuns
0.375. Three divided by eight is 375 thousandths.
Fișa 33
Întrebare
0.8 as a fraction in simplest form?
Răspuns
4/5. Reduce 8/10 by dividing both parts by 2.
Fișa 34
Întrebare
1/25 as a percentage?
Răspuns
4%. Multiply numerator and denominator by 4 to get 4/100.
Fișa 35
Întrebare
5% as a fraction in simplest form?
Răspuns
1/20. Reduce 5/100 by dividing both parts by 5.
Fișa 36
Întrebare
2/5 as a decimal?
Răspuns
0.4. Multiply both parts by 2: 2/5 = 4/10.
Fișa 37
Întrebare
0.625 as a fraction in simplest form?
Răspuns
5/8. Reduce 625/1,000 by dividing both parts by 125.
Fișa 38
Întrebare
7/8 as a percentage?
Răspuns
87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
Fișa 39
Întrebare
37.5% as a fraction in simplest form?
Răspuns
3/8. Write 37.5/100 = 375/1,000, then simplify.
Fișa 40
Întrebare
3/20 as a decimal?
Răspuns
0.15. Multiply both parts by 5: 3/20 = 15/100.
Fișa 41
Întrebare
0.04 as a fraction in simplest form?
Răspuns
1/25. Reduce 4/100 by dividing both parts by 4.
Fișa 42
Întrebare
40% as a fraction in simplest form?
Răspuns
2/5. Reduce 40/100 by dividing both parts by 20.
Fișa 43
Întrebare
0.875 as a fraction in simplest form?
Răspuns
7/8. Reduce 875/1,000 by dividing both parts by 125.
Fișa 44
Întrebare
15% as a fraction in simplest form?
Răspuns
3/20. Reduce 15/100 by dividing both parts by 5.
Fișa 45
Întrebare
5/4 as a decimal?
Răspuns
1.25. One whole plus one quarter is 1 + 0.25.
Fișa 46
Întrebare
0.6% as a decimal?
Răspuns
0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
Fișa 47
Întrebare
What distinguishes a repeating decimal from a terminating decimal?
Răspuns
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.
Fișa 48
Întrebare
2.5 as a percentage?
Răspuns
250%. Multiply 2.5 by 100 and attach %.
Fișa 49
Întrebare
0% as a decimal?
Răspuns
0
Zero divided by 100 is zero.
Fișa 50
Întrebare
1/3 as an exact decimal?
Răspuns
0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
Fișa 51
Întrebare
125% as a fraction in simplest form?
Răspuns
5/4. Reduce 125/100; the result exceeds one whole.
Fișa 52
Întrebare
1 3/4 as a percentage?
Răspuns
175%. Convert the mixed number to 1.75, then multiply by 100.
Fișa 53
Întrebare
2/3 as an exact percentage?
Răspuns
66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.
Fișa 54
Întrebare
0.006 as a percentage?
Răspuns
0.6%. Multiply 0.006 by 100 and attach %.
Fișa 55
Întrebare
1/6 as a decimal, rounded to three decimal places?
Răspuns
0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.
Fișa 56
Întrebare
0.333… (3 repeats forever) as a fraction in simplest form?
Răspuns
1/3. This is exact; 0.333 without the repeating tail is a different number.
Fișa 57
Întrebare
1 as a percentage?
Răspuns
100%. One whole corresponds to 100 out of 100.
Fișa 58
Întrebare
2/3 as a percentage, rounded to one decimal place?
Răspuns
66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.
Fișa 59
Întrebare
1/12 as an exact percentage?
Răspuns
8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
Fișa 60
Întrebare
0.333 as a fraction in simplest form?
Răspuns
333/1,000. It ends after three decimal places and is not exactly 1/3.
Fișa 61
Întrebare
How can you compare a fraction, a decimal, and a percentage on one scale?
Răspuns
Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.
Fișa 62
Întrebare
Which is larger: 7/20 or 34%?
Răspuns
7/20. It equals 0.35, while 34% equals 0.34.
Fișa 63
Întrebare
Which is larger: 0.09 or 0.1?
Răspuns
0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
Fișa 64
Întrebare
Are 9/20 and 45% equal?
Răspuns
Yes. 9/20 = 45/100 = 45%.
Fișa 65
Întrebare
Which is larger: 0.5% or 0.05?
Răspuns
0.05. The other value, 0.5%, equals 0.005.
Fișa 66
Întrebare
Order from smallest to largest: 0.58, 3/5, 59%.
Răspuns
0.58 < 59% < 3/5. As decimals, they are 0.58, 0.59, and 0.60.
Fișa 67
Întrebare
Which is larger: 130% or 1 1/4?
Răspuns
130%. It equals 1.3, while 1 1/4 equals 1.25.
Fișa 68
Întrebare
Which is larger: 1/3 or 33.3%?
Răspuns
1/3. The percentage equals exactly 0.333, while 1/3 = 0.333… with 3 repeating forever.
Fișa 69
Întrebare
Which is larger: 3/8 or 38%?
Răspuns
38%. The fraction equals 0.375, while 38% equals 0.38.
Fișa 70
Întrebare
Which is larger: 17/20 or 0.84?
Răspuns
17/20. It equals 0.85, which is greater than 0.84.
Fișa 71
Întrebare
How do you calculate p% of an amount A?
Răspuns
(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
Fișa 72
Întrebare
12% of 150?
Răspuns
18
Calculate 0.12 × 150.
Fișa 73
Întrebare
How do you find what percentage a part is of a nonzero whole?
Răspuns
(part ÷ whole) × 100%. Divide by the whole, not by the part.
Fișa 74
Întrebare
A 20% discount leaves what percentage of the original price to pay?
Răspuns
80%. Subtract the discount from 100%.
Fișa 75
Întrebare
150% of 40?
Răspuns
60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
Fișa 76
Întrebare
30 is 15% of what number?
Răspuns
200
Divide the part by the decimal percentage: 30 ÷ 0.15.
Fișa 77
Întrebare
18 out of 72 is what percentage?
Răspuns
25%. Calculate (18 ÷ 72) × 100%.
Fișa 78
Întrebare
0.5% of 600?
Răspuns
3
Calculate 0.005 × 600.
Fișa 79
Întrebare
To convert 2/7 to a decimal, a learner calculates 7 ÷ 2. What must change?
Răspuns
Use 2 ÷ 7. The numerator is divided by the denominator, in that order.
Fișa 80
Întrebare
A learner writes 0.42 = 0.42%. What is the correct percentage?
Răspuns
42%. Multiply the decimal by 100 before adding %; 0.42% would equal 0.0042.
Fișa 81
Întrebare
A learner writes 0.018 = 18/100. What is the correct simplest fraction?
Răspuns
9/500. Three decimal places give 18/1,000, which simplifies to 9/500.
Fișa 82
Întrebare
Why is “a percentage cannot exceed 100%” incorrect?
Răspuns
100% is one reference whole, and an amount can exceed it. For example, 160% of a positive amount is 1.6 times that amount.
Fișa 83
Întrebare
A learner reduces 12/20 to 6/20. What is the correct simplest fraction?
Răspuns
3/5. Divide both numerator and denominator by 4. Changing only the numerator changes the value.
Fișa 84
Întrebare
A learner rounds 1/6 to 0.17 before converting to percent. What is 1/6 as a percentage to one decimal place?
Răspuns
16.7%. Convert the exact fraction first: (1/6) × 100 = 16.666… before attaching %. Round only the final percentage.
Fișa 85
Întrebare
For the same whole, why is 1/9 smaller than 1/6?
Răspuns
Nine equal parts make each part smaller than six equal parts. With the same positive numerator, a larger positive denominator gives a smaller fraction.
Fișa 86
Întrebare
Why can 10% of 80 and 10% of 200 be different amounts?
Răspuns
The reference whole is different. They are 8 and 20 respectively, even though the percentage is the same.
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Fractions, Decimals & Percentages Flashcards
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