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