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