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