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