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