Fractions, Decimals & Percentages Flashcards

Question 1

In a fraction of one whole, what does the denominator count?

Accepted Answer

The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.

Question 2

What does percent mean?

Accepted Answer

Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.

Question 3

In 0.6, what place does the digit 6 occupy?

Accepted Answer

The tenths place. Its value is 6/10.

Question 4

How do you reduce a fraction to simplest form?

Accepted Answer

Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.

Question 5

Fraction → decimal: which division do you calculate?

Accepted Answer

Numerator ÷ denominator. The denominator must be nonzero.

Question 6

How do you turn a terminating decimal into a fraction?

Accepted Answer

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.

Question 7

In 3/7 of one whole, what does the numerator count?

Accepted Answer

Three of the seven equal parts.

Question 8

Percent → decimal: what do you do with the number before %?

Accepted Answer

Divide it by 100 and remove the % sign.

Question 9

Does writing 0.60 instead of 0.6 change the numerical value?

Accepted Answer

No. Both equal six tenths. A trailing zero after the decimal does not change the value.

Question 10

What does the mixed number 2 3/5 mean?

Accepted Answer

2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.

Question 11

Fraction → percent: how do you find the number before %?

Accepted Answer

Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.

Question 12

Decimal → percent: how do you find the number before %?

Accepted Answer

Multiply the decimal by 100, then attach the % sign.

Question 13

In 0.47, what is the value of the digit 7?

Accepted Answer

7/100, or 0.07. The 7 is in the hundredths place.

Question 14

Percent → fraction: what denominator does % supply?

Accepted Answer

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.

Question 15

1/2 as a decimal?

Accepted Answer

0.5. One divided by two is five tenths.

Question 16

1/5 as a percentage?

Accepted Answer

20%. Multiply numerator and denominator by 20 to get 20/100.

Question 17

3/4 as a decimal?

Accepted Answer

0.75. Three divided by four is seventy-five hundredths.

Question 18

1/10 as a percentage?

Accepted Answer

10%. One tenth is ten hundredths.

Question 19

1/4 as a percentage?

Accepted Answer

25%. Four equal quarters each account for 25 out of 100.

Question 20

50% as a fraction in simplest form?

Accepted Answer

1/2. Reduce 50/100 by dividing both parts by 50.

Question 21

3/5 as a decimal?

Accepted Answer

0.6. Multiply both parts by 2: 3/5 = 6/10.

Question 22

0.2 as a fraction in simplest form?

Accepted Answer

1/5. Reduce 2/10 by dividing both parts by 2.

Question 23

1/8 as a decimal?

Accepted Answer

0.125. One divided by eight terminates after three decimal places.

Question 24

75% as a fraction in simplest form?

Accepted Answer

3/4. Reduce 75/100 by dividing both parts by 25.

Question 25

4/5 as a percentage?

Accepted Answer

80%. Each fifth is 20%, so four fifths is 80%.

Question 26

0.1 as a fraction in simplest form?

Accepted Answer

1/10. The 1 is in the tenths place.

Question 27

1/20 as a decimal?

Accepted Answer

0.05. Multiply both parts by 5: 1/20 = 5/100.

Question 28

0.25 as a fraction in simplest form?

Accepted Answer

1/4. Reduce 25/100 by dividing both parts by 25.

Question 29

60% as a fraction in simplest form?

Accepted Answer

3/5. Reduce 60/100 by dividing both parts by 20.

Question 30

5/8 as a percentage?

Accepted Answer

62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.

Question 31

12.5% as a fraction in simplest form?

Accepted Answer

1/8. Write 12.5/100 = 125/1,000, then simplify.

Question 32

3/8 as a decimal?

Accepted Answer

0.375. Three divided by eight is 375 thousandths.

Question 33

0.8 as a fraction in simplest form?

Accepted Answer

4/5. Reduce 8/10 by dividing both parts by 2.

Question 34

1/25 as a percentage?

Accepted Answer

4%. Multiply numerator and denominator by 4 to get 4/100.

Question 35

5% as a fraction in simplest form?

Accepted Answer

1/20. Reduce 5/100 by dividing both parts by 5.

Question 36

2/5 as a decimal?

Accepted Answer

0.4. Multiply both parts by 2: 2/5 = 4/10.

Question 37

0.625 as a fraction in simplest form?

Accepted Answer

5/8. Reduce 625/1,000 by dividing both parts by 125.

Question 38

7/8 as a percentage?

Accepted Answer

87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.

Question 39

37.5% as a fraction in simplest form?

Accepted Answer

3/8. Write 37.5/100 = 375/1,000, then simplify.

Question 40

3/20 as a decimal?

Accepted Answer

0.15. Multiply both parts by 5: 3/20 = 15/100.

Question 41

0.04 as a fraction in simplest form?

Accepted Answer

1/25. Reduce 4/100 by dividing both parts by 4.

Question 42

40% as a fraction in simplest form?

Accepted Answer

2/5. Reduce 40/100 by dividing both parts by 20.

Question 43

0.875 as a fraction in simplest form?

Accepted Answer

7/8. Reduce 875/1,000 by dividing both parts by 125.

Question 44

15% as a fraction in simplest form?

Accepted Answer

3/20. Reduce 15/100 by dividing both parts by 5.

Question 45

5/4 as a decimal?

Accepted Answer

1.25. One whole plus one quarter is 1 + 0.25.

Question 46

0.6% as a decimal?

Accepted Answer

0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.

Question 47

What distinguishes a repeating decimal from a terminating decimal?

Accepted Answer

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.

Question 48

2.5 as a percentage?

Accepted Answer

250%. Multiply 2.5 by 100 and attach %.

Question 49

0% as a decimal?

Accepted Answer

0

Zero divided by 100 is zero.

Question 50

1/3 as an exact decimal?

Accepted Answer

0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.

Question 51

125% as a fraction in simplest form?

Accepted Answer

5/4. Reduce 125/100; the result exceeds one whole.

Question 52

1 3/4 as a percentage?

Accepted Answer

175%. Convert the mixed number to 1.75, then multiply by 100.

Question 53

2/3 as an exact percentage?

Accepted Answer

66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.

Question 54

0.006 as a percentage?

Accepted Answer

0.6%. Multiply 0.006 by 100 and attach %.

Question 55

1/6 as a decimal, rounded to three decimal places?

Accepted Answer

0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.

Question 56

0.333… (3 repeats forever) as a fraction in simplest form?

Accepted Answer

1/3. This is exact; 0.333 without the repeating tail is a different number.

Question 57

1 as a percentage?

Accepted Answer

100%. One whole corresponds to 100 out of 100.

Question 58

2/3 as a percentage, rounded to one decimal place?

Accepted Answer

66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.

Question 59

1/12 as an exact percentage?

Accepted Answer

8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.

Question 60

0.333 as a fraction in simplest form?

Accepted Answer

333/1,000. It ends after three decimal places and is not exactly 1/3.

Question 61

How can you compare a fraction, a decimal, and a percentage on one scale?

Accepted Answer

Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.

Question 62

Which is larger: 7/20 or 34%?

Accepted Answer

7/20. It equals 0.35, while 34% equals 0.34.

Question 63

Which is larger: 0.09 or 0.1?

Accepted Answer

0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.

Question 64

Are 9/20 and 45% equal?

Accepted Answer

Yes. 9/20 = 45/100 = 45%.

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