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