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