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# Fraction to Decimal Worksheet - Page 2

Fraction to Decimal Worksheet
• Page 2
11.
Convert $\frac{3}{10}$ into a decimal.
 a. 0.3 b. 0.03 c. 30 d. 3

#### Solution:

3 / 10 = 0.3
[The digit on the extreme right is in tenths place. So, 3 tenths = 3 / 10.]

Correct answer : (1)
12.
Carol takes $\frac{1}{2}$ an hour to paint a table. How many hours would she take to paint 3 such tables? Which one represents the time in decimal form?
 a. 1.5 hours b. 15 hours c. 150 hours d. 0.15 hours

#### Solution:

Time taken to paint 3 tables = Time taken to paint one table × Number of tables.

= 12 × 3 = 32

The decimal equivalent of 3 / 2 is 1.5.

Carol takes 1.5 hours to paint the three tables.

Correct answer : (1)
13.
Convert the decimal 0.6 into fractional form.
 a. $\frac{6}{100}$ b. 60 c. 6 d. $\frac{6}{10}$

#### Solution:

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

Correct answer : (4)
14.
Convert the decimal 0.53 into fractional form.
 a. $\frac{100}{53}$ b. $\frac{53}{1000}$ c. $\frac{53}{100}$ d. $\frac{53}{10}$

#### Solution:

0.53 = 53100
[The digit on the extreme right is in hundredths place. So 53 hundredths = 53 / 100.]

Correct answer : (3)
15.
Convert (100 + 70 + $\frac{1}{100}$ + $\frac{6}{100}$ + $\frac{3}{100}$) into its decimal equivalent.
 a. 17.1 b. 170.1 c. 17.01 d. 170.01

#### Solution:

100 + 70 + 1100 + 6100 + 3100

= 170 + 10100
[Add the whole numbers and add the fractions separately.]

The equivalent decimal for the fraction is 170 + 0.1

= 170.1

Correct answer : (2)
16.
Convert (1 × 0.1) + (3 × 0.3) + (3 × 0.1) into its fractional equivalent.
 a. $\frac{13}{1000}$ b. $\frac{13}{10}$ c. $\frac{13}{100}$ d. 13

#### Solution:

(1 × 0.1) + (3 × 0.3) + (3 × 0.1) = 0.1 + 0.9 + 0.3 = 1.3

1.3 = 13 / 10

Correct answer : (2)
17.
Convert ( $\frac{1}{3}$ + $\frac{1}{3}$) into its decimal equivalent.
 a. 67 b. 0.067 c. 0.67

#### Solution:

1 / 3 + 1 / 3 = (1+1) / 3

= 2 / 3

= 0.67

Correct answer : (3)
18.
Convert $\frac{18}{100}$ into a decimal.
 a. 180 b. 1.8 c. 0.18 d. 18

#### Solution:

18100 = 0.18

Correct answer : (3)
19.
Convert the mixed number $4\frac{37}{100}$ into a decimal number.
 a. 43.5 b. 4.37 c. 4.037 d. 0.437

#### Solution:

437100
[Original mixed number]

= 4 + 37100
[Split the mixed number.]

= 4 + 0.37
[Convert the fraction 37 / 100 into a decimal number.]

= 4.37

Correct answer : (2)
20.
Convert the fraction $\frac{457}{1000}$ into a decimal equivalent.
 a. 0.457 b. 4570 c. 4 d. 45

#### Solution:

4571000
[Original fraction]

= 410 + 5100 + 71000
[Expand the number so as to divide into their corresponding decimal places.]

= 0.4 + 0.05 + 0.007
[Convert the fractions to decimal numbers.]

= 0.457