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