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