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