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