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