Fractions, Decimals & Percentages Flashcards
86 flashcards on fraction, decimal and percent conversions, exact and rounded equivalents, mixed-value comparisons, and common mistakes.
Sobre aquesta baralla
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.
Targetes d'aquesta baralla
Targeta 1
Pregunta
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.
Targeta 2
Pregunta
What does percent mean?
Resposta
Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.
Targeta 3
Pregunta
In 0.6, what place does the digit 6 occupy?
Resposta
The tenths place. Its value is 6/10.
Targeta 4
Pregunta
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.
Targeta 5
Pregunta
Fraction → decimal: which division do you calculate?
Resposta
Numerator ÷ denominator. The denominator must be nonzero.
Targeta 6
Pregunta
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.
Targeta 7
Pregunta
In 3/7 of one whole, what does the numerator count?
Resposta
Three of the seven equal parts.
Targeta 8
Pregunta
Percent → decimal: what do you do with the number before %?
Resposta
Divide it by 100 and remove the % sign.
Targeta 9
Pregunta
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.
Targeta 10
Pregunta
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.
Targeta 11
Pregunta
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.
Targeta 12
Pregunta
Decimal → percent: how do you find the number before %?
Resposta
Multiply the decimal by 100, then attach the % sign.
Targeta 13
Pregunta
In 0.47, what is the value of the digit 7?
Resposta
7/100, or 0.07. The 7 is in the hundredths place.
Targeta 14
Pregunta
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.
Targeta 15
Pregunta
1/2 as a decimal?
Resposta
0.5. One divided by two is five tenths.
Targeta 16
Pregunta
1/5 as a percentage?
Resposta
20%. Multiply numerator and denominator by 20 to get 20/100.
Targeta 17
Pregunta
3/4 as a decimal?
Resposta
0.75. Three divided by four is seventy-five hundredths.
Targeta 18
Pregunta
1/10 as a percentage?
Resposta
10%. One tenth is ten hundredths.
Targeta 19
Pregunta
1/4 as a percentage?
Resposta
25%. Four equal quarters each account for 25 out of 100.
Targeta 20
Pregunta
50% as a fraction in simplest form?
Resposta
1/2. Reduce 50/100 by dividing both parts by 50.
Targeta 21
Pregunta
3/5 as a decimal?
Resposta
0.6. Multiply both parts by 2: 3/5 = 6/10.
Targeta 22
Pregunta
0.2 as a fraction in simplest form?
Resposta
1/5. Reduce 2/10 by dividing both parts by 2.
Targeta 23
Pregunta
1/8 as a decimal?
Resposta
0.125. One divided by eight terminates after three decimal places.
Targeta 24
Pregunta
75% as a fraction in simplest form?
Resposta
3/4. Reduce 75/100 by dividing both parts by 25.
Targeta 25
Pregunta
4/5 as a percentage?
Resposta
80%. Each fifth is 20%, so four fifths is 80%.
Targeta 26
Pregunta
0.1 as a fraction in simplest form?
Resposta
1/10. The 1 is in the tenths place.
Targeta 27
Pregunta
1/20 as a decimal?
Resposta
0.05. Multiply both parts by 5: 1/20 = 5/100.
Targeta 28
Pregunta
0.25 as a fraction in simplest form?
Resposta
1/4. Reduce 25/100 by dividing both parts by 25.
Targeta 29
Pregunta
60% as a fraction in simplest form?
Resposta
3/5. Reduce 60/100 by dividing both parts by 20.
Targeta 30
Pregunta
5/8 as a percentage?
Resposta
62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.
Targeta 31
Pregunta
12.5% as a fraction in simplest form?
Resposta
1/8. Write 12.5/100 = 125/1,000, then simplify.
Targeta 32
Pregunta
3/8 as a decimal?
Resposta
0.375. Three divided by eight is 375 thousandths.
Targeta 33
Pregunta
0.8 as a fraction in simplest form?
Resposta
4/5. Reduce 8/10 by dividing both parts by 2.
Targeta 34
Pregunta
1/25 as a percentage?
Resposta
4%. Multiply numerator and denominator by 4 to get 4/100.
Targeta 35
Pregunta
5% as a fraction in simplest form?
Resposta
1/20. Reduce 5/100 by dividing both parts by 5.
Targeta 36
Pregunta
2/5 as a decimal?
Resposta
0.4. Multiply both parts by 2: 2/5 = 4/10.
Targeta 37
Pregunta
0.625 as a fraction in simplest form?
Resposta
5/8. Reduce 625/1,000 by dividing both parts by 125.
Targeta 38
Pregunta
7/8 as a percentage?
Resposta
87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.
Targeta 39
Pregunta
37.5% as a fraction in simplest form?
Resposta
3/8. Write 37.5/100 = 375/1,000, then simplify.
Targeta 40
Pregunta
3/20 as a decimal?
Resposta
0.15. Multiply both parts by 5: 3/20 = 15/100.
Targeta 41
Pregunta
0.04 as a fraction in simplest form?
Resposta
1/25. Reduce 4/100 by dividing both parts by 4.
Targeta 42
Pregunta
40% as a fraction in simplest form?
Resposta
2/5. Reduce 40/100 by dividing both parts by 20.
Targeta 43
Pregunta
0.875 as a fraction in simplest form?
Resposta
7/8. Reduce 875/1,000 by dividing both parts by 125.
Targeta 44
Pregunta
15% as a fraction in simplest form?
Resposta
3/20. Reduce 15/100 by dividing both parts by 5.
Targeta 45
Pregunta
5/4 as a decimal?
Resposta
1.25. One whole plus one quarter is 1 + 0.25.
Targeta 46
Pregunta
0.6% as a decimal?
Resposta
0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.
Targeta 47
Pregunta
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.
Targeta 48
Pregunta
2.5 as a percentage?
Resposta
250%. Multiply 2.5 by 100 and attach %.
Targeta 49
Pregunta
0% as a decimal?
Resposta
0
Zero divided by 100 is zero.
Targeta 50
Pregunta
1/3 as an exact decimal?
Resposta
0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.
Targeta 51
Pregunta
125% as a fraction in simplest form?
Resposta
5/4. Reduce 125/100; the result exceeds one whole.
Targeta 52
Pregunta
1 3/4 as a percentage?
Resposta
175%. Convert the mixed number to 1.75, then multiply by 100.
Targeta 53
Pregunta
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.
Targeta 54
Pregunta
0.006 as a percentage?
Resposta
0.6%. Multiply 0.006 by 100 and attach %.
Targeta 55
Pregunta
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.
Targeta 56
Pregunta
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.
Targeta 57
Pregunta
1 as a percentage?
Resposta
100%. One whole corresponds to 100 out of 100.
Targeta 58
Pregunta
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.
Targeta 59
Pregunta
1/12 as an exact percentage?
Resposta
8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.
Targeta 60
Pregunta
0.333 as a fraction in simplest form?
Resposta
333/1,000. It ends after three decimal places and is not exactly 1/3.
Targeta 61
Pregunta
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.
Targeta 62
Pregunta
Which is larger: 7/20 or 34%?
Resposta
7/20. It equals 0.35, while 34% equals 0.34.
Targeta 63
Pregunta
Which is larger: 0.09 or 0.1?
Resposta
0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.
Targeta 64
Pregunta
Are 9/20 and 45% equal?
Resposta
Yes. 9/20 = 45/100 = 45%.
Targeta 65
Pregunta
Which is larger: 0.5% or 0.05?
Resposta
0.05. The other value, 0.5%, equals 0.005.
Targeta 66
Pregunta
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.
Targeta 67
Pregunta
Which is larger: 130% or 1 1/4?
Resposta
130%. It equals 1.3, while 1 1/4 equals 1.25.
Targeta 68
Pregunta
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.
Targeta 69
Pregunta
Which is larger: 3/8 or 38%?
Resposta
38%. The fraction equals 0.375, while 38% equals 0.38.
Targeta 70
Pregunta
Which is larger: 17/20 or 0.84?
Resposta
17/20. It equals 0.85, which is greater than 0.84.
Targeta 71
Pregunta
How do you calculate p% of an amount A?
Resposta
(p ÷ 100) × A. First convert the percentage to a decimal multiplier.
Targeta 72
Pregunta
12% of 150?
Resposta
18
Calculate 0.12 × 150.
Targeta 73
Pregunta
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.
Targeta 74
Pregunta
A 20% discount leaves what percentage of the original price to pay?
Resposta
80%. Subtract the discount from 100%.
Targeta 75
Pregunta
150% of 40?
Resposta
60
Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.
Targeta 76
Pregunta
30 is 15% of what number?
Resposta
200
Divide the part by the decimal percentage: 30 ÷ 0.15.
Targeta 77
Pregunta
18 out of 72 is what percentage?
Resposta
25%. Calculate (18 ÷ 72) × 100%.
Targeta 78
Pregunta
0.5% of 600?
Resposta
3
Calculate 0.005 × 600.
Targeta 79
Pregunta
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.
Targeta 80
Pregunta
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.
Targeta 81
Pregunta
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.
Targeta 82
Pregunta
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.
Targeta 83
Pregunta
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.
Targeta 84
Pregunta
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.
Targeta 85
Pregunta
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.
Targeta 86
Pregunta
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 targetes
Fractions, Decimals & Percentages Flashcards
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