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