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