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