﻿ Fraction to Decimal Worksheet - Page 3 | Problems & Solutions
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Fraction to Decimal Worksheet
• Page 3
21.
Identify 0.99 as a fraction. a. $\frac{99}{1000}$ b. $\frac{99}{100}$ c. $\frac{99}{10}$ d. $\frac{100}{99}$

#### Solution:

0.99 = 99100
[The digit on the extreme right is in the hundredth's place, so 99 hundredths = 99 / 100.]

Correct answer : (2)
22.
Choose the fractional equivalent of 0.026. a. $\frac{26}{100}$ b. $\frac{26}{1000}$ c. $\frac{1000}{26}$ d. $\frac{26}{10}$

#### Solution:

0.026 = 26 / 1000.
[The digit on the extreme right is in the thousandth's place, so 26 thousandths = 26 / 1000.]

Correct answer : (2)
23.
Identify the fraction $\frac{1}{20}$ as a decimal number. a. 0.5 b. 0.05 c. 5 d. 50

#### Solution: 120 = 0.05.

Correct answer : (2)
24.
Convert the fraction ($\frac{3}{5}$ × $\frac{2}{5}$ × $\frac{1}{4}$) into its decimal equivalent. a. 60 b. 0.06 c. 0.6 d. 6

#### Solution:

(3 / 5× 2 / 5 × 1 / 4) = 6 / 100
[Multiply numerators and denominators separately.]

So the decimal equivalent of the fraction (3 / 5 × 2 / 5 × 1 / 4) is 0.06.

Correct answer : (2)
25.
Choose the correct fractional equivalent of 0.6 a. $\frac{6}{100}$ b. $\frac{10}{6}$ c. $\frac{6}{1000}$ d. $\frac{6}{10}$

#### Solution:

0.6 = 610
[The digit on the extreme right is in the tenth's place. So, 6 tenths = 6 / 10.]

Correct answer : (4)
26.
Convert $\frac{53}{100}$ into decimal form. a. 0.53 b. 0.035 c. 0.35 d. 0.053

#### Solution:

53100
[Original expression.]

= 510 + 3100
[Expand the number so as to divide into corresponding decimal equivalents.]

= 0.5 + 0.03
[Convert the fractions into decimal form.]

= 0.53
[Add.]

Correct answer : (1)
27.
Which is the decimal for the model?  a. 0.5 b. 50 c. 5 d. 0.05

#### Solution:

50 out of 100 pieces are shaded.

So, the model represents 50 hundredths.

50 hundredths = 50 / 100 = 0.50.

Correct answer : (1)
28.
Find the decimal for the model.  a. 8 b. 8 c. 0.2 d. 0.8

#### Solution:

8 out of 10 pieces of the model are shaded.

So, the model represents 8 tenths.

8 tenths = 8 / 10 = 0.8

So, the decimal for the model is 0.8.

Correct answer : (4)
29.
Identify the decimal for a mixed number $8\frac{4}{10}$. a. 0.84 b. 8.04 c. 8.4 d. 84

#### Solution:

8410 = 8 + 410
[Write the mixed number as a sum.]

410 = 0.4

So, 8 + 4 / 10 = 8 + 0.4
[Substitute 4 / 10 = 0.4.]

= 8.4
[Add.]

So the decimal for 84 / 10 is 8.4.

Correct answer : (3)

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