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