Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
Um þennan stokk
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.
Spjöld í þessum stokki
Spjald 1
Spurning
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.
Spjald 2
Spurning
What does percent mean?
Svar
Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
Spjald 3
Spurning
In 0.6, what place does the digit 6 occupy?
Svar
The tenths place. Its value is 6/10.
Spjald 4
Spurning
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.
Spjald 5
Spurning
Fraction → decimal: which division do you calculate?
Svar
Numerator ÷ denominator. The denominator must be nonzero.
Spjald 6
Spurning
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.
Spjald 7
Spurning
In 3/7 of one whole, what does the numerator count?
Svar
Three of the seven equal parts.
Spjald 8
Spurning
Percent → decimal: what do you do with the number before %?
Svar
Divide it by 100 and remove the % sign.
Spjald 9
Spurning
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.
Spjald 10
Spurning
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.
Spjald 11
Spurning
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.
Spjald 12
Spurning
Decimal → percent: how do you find the number before %?
Svar
Multiply the decimal by 100, then attach the % sign.
Spjald 13
Spurning
In 0.47, what is the value of the digit 7?
Svar
7/100, or 0.07. The 7 is in the hundredths place.
Spjald 14
Spurning
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.
Spjald 15
Spurning
1/2 as a decimal?
Svar
0.5. One divided by two is five tenths.
Spjald 16
Spurning
1/5 as a percentage?
Svar
20%. Multiply numerator and denominator by 20 to get 20/100.
Spjald 17
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3/4 as a decimal?
Svar
0.75. Three divided by four is seventy-five hundredths.
Spjald 18
Spurning
1/10 as a percentage?
Svar
10%. One tenth is ten hundredths.
Spjald 19
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1/4 as a percentage?
Svar
25%. Four equal quarters each account for 25 out of 100.
Spjald 20
Spurning
50% as a fraction in simplest form?
Svar
1/2. Reduce 50/100 by dividing both parts by 50.
Spjald 21
Spurning
3/5 as a decimal?
Svar
0.6. Multiply both parts by 2: 3/5 = 6/10.
Spjald 22
Spurning
0.2 as a fraction in simplest form?
Svar
1/5. Reduce 2/10 by dividing both parts by 2.
Spjald 23
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1/8 as a decimal?
Svar
0.125. One divided by eight terminates after three decimal places.
Spjald 24
Spurning
75% as a fraction in simplest form?
Svar
3/4. Reduce 75/100 by dividing both parts by 25.
Spjald 25
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4/5 as a percentage?
Svar
80%. Each fifth is 20%, so four fifths is 80%.
Spjald 26
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0.1 as a fraction in simplest form?
Svar
1/10. The 1 is in the tenths place.
Spjald 27
Spurning
1/20 as a decimal?
Svar
0.05. Multiply both parts by 5: 1/20 = 5/100.
Spjald 28
Spurning
0.25 as a fraction in simplest form?
Svar
1/4. Reduce 25/100 by dividing both parts by 25.
Spjald 29
Spurning
60% as a fraction in simplest form?
Svar
3/5. Reduce 60/100 by dividing both parts by 20.
Spjald 30
Spurning
5/8 as a percentage?
Svar
62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
Spjald 31
Spurning
12.5% as a fraction in simplest form?
Svar
1/8. Write 12.5/100 = 125/1,000, then simplify.
Spjald 32
Spurning
3/8 as a decimal?
Svar
0.375. Three divided by eight is 375 thousandths.
Spjald 33
Spurning
0.8 as a fraction in simplest form?
Svar
4/5. Reduce 8/10 by dividing both parts by 2.
Spjald 34
Spurning
1/25 as a percentage?
Svar
4%. Multiply numerator and denominator by 4 to get 4/100.
Spjald 35
Spurning
5% as a fraction in simplest form?
Svar
1/20. Reduce 5/100 by dividing both parts by 5.
Spjald 36
Spurning
2/5 as a decimal?
Svar
0.4. Multiply both parts by 2: 2/5 = 4/10.
Spjald 37
Spurning
0.625 as a fraction in simplest form?
Svar
5/8. Reduce 625/1,000 by dividing both parts by 125.
Spjald 38
Spurning
7/8 as a percentage?
Svar
87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
Spjald 39
Spurning
37.5% as a fraction in simplest form?
Svar
3/8. Write 37.5/100 = 375/1,000, then simplify.
Spjald 40
Spurning
3/20 as a decimal?
Svar
0.15. Multiply both parts by 5: 3/20 = 15/100.
Spjald 41
Spurning
0.04 as a fraction in simplest form?
Svar
1/25. Reduce 4/100 by dividing both parts by 4.
Spjald 42
Spurning
40% as a fraction in simplest form?
Svar
2/5. Reduce 40/100 by dividing both parts by 20.
Spjald 43
Spurning
0.875 as a fraction in simplest form?
Svar
7/8. Reduce 875/1,000 by dividing both parts by 125.
Spjald 44
Spurning
15% as a fraction in simplest form?
Svar
3/20. Reduce 15/100 by dividing both parts by 5.
Spjald 45
Spurning
5/4 as a decimal?
Svar
1.25. One whole plus one quarter is 1 + 0.25.
Spjald 46
Spurning
0.6% as a decimal?
Svar
0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
Spjald 47
Spurning
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.
Spjald 48
Spurning
2.5 as a percentage?
Svar
250%. Multiply 2.5 by 100 and attach %.
Spjald 49
Spurning
0% as a decimal?
Svar
0
Zero divided by 100 is zero.
Spjald 50
Spurning
1/3 as an exact decimal?
Svar
0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
Spjald 51
Spurning
125% as a fraction in simplest form?
Svar
5/4. Reduce 125/100; the result exceeds one whole.
Spjald 52
Spurning
1 3/4 as a percentage?
Svar
175%. Convert the mixed number to 1.75, then multiply by 100.
Spjald 53
Spurning
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.
Spjald 54
Spurning
0.006 as a percentage?
Svar
0.6%. Multiply 0.006 by 100 and attach %.
Spjald 55
Spurning
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.
Spjald 56
Spurning
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.
Spjald 57
Spurning
1 as a percentage?
Svar
100%. One whole corresponds to 100 out of 100.
Spjald 58
Spurning
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.
Spjald 59
Spurning
1/12 as an exact percentage?
Svar
8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
Spjald 60
Spurning
0.333 as a fraction in simplest form?
Svar
333/1,000. It ends after three decimal places and is not exactly 1/3.
Spjald 61
Spurning
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.
Spjald 62
Spurning
Which is larger: 7/20 or 34%?
Svar
7/20. It equals 0.35, while 34% equals 0.34.
Spjald 63
Spurning
Which is larger: 0.09 or 0.1?
Svar
0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
Spjald 64
Spurning
Are 9/20 and 45% equal?
Svar
Yes. 9/20 = 45/100 = 45%.
Spjald 65
Spurning
Which is larger: 0.5% or 0.05?
Svar
0.05. The other value, 0.5%, equals 0.005.
Spjald 66
Spurning
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.
Spjald 67
Spurning
Which is larger: 130% or 1 1/4?
Svar
130%. It equals 1.3, while 1 1/4 equals 1.25.
Spjald 68
Spurning
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.
Spjald 69
Spurning
Which is larger: 3/8 or 38%?
Svar
38%. The fraction equals 0.375, while 38% equals 0.38.
Spjald 70
Spurning
Which is larger: 17/20 or 0.84?
Svar
17/20. It equals 0.85, which is greater than 0.84.
Spjald 71
Spurning
How do you calculate p% of an amount A?
Svar
(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
Spjald 72
Spurning
12% of 150?
Svar
18
Calculate 0.12 × 150.
Spjald 73
Spurning
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.
Spjald 74
Spurning
A 20% discount leaves what percentage of the original price to pay?
Svar
80%. Subtract the discount from 100%.
Spjald 75
Spurning
150% of 40?
Svar
60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
Spjald 76
Spurning
30 is 15% of what number?
Svar
200
Divide the part by the decimal percentage: 30 ÷ 0.15.
Spjald 77
Spurning
18 out of 72 is what percentage?
Svar
25%. Calculate (18 ÷ 72) × 100%.
Spjald 78
Spurning
0.5% of 600?
Svar
3
Calculate 0.005 × 600.
Spjald 79
Spurning
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.
Spjald 80
Spurning
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.
Spjald 81
Spurning
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.
Spjald 82
Spurning
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.
Spjald 83
Spurning
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.
Spjald 84
Spurning
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.
Spjald 85
Spurning
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.
Spjald 86
Spurning
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 spjöld
Fractions, Decimals & Percentages Flashcards
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