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