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