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