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