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