﻿ Fraction to Decimal Worksheet | Problems & Solutions Fraction to Decimal Worksheet

Fraction to Decimal Worksheet
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1.
Convert the decimal 2.325 into fractional form. a. $13\frac{1}{40}$ b. $\frac{13}{40}$ c. $\frac{1}{40}$ d. $2\frac{13}{40}$

Solution:

Read the number as one and three hundred twenty-five thousandths.

The number in the denominator is 1000.

So, 2.325 = 2325 / 1000

= 2325 ÷ 251000 ÷ 25
[Use the GCF to write the fraction in simplest form.]

= 213 / 40

2.
Express 1.12 as a fraction. a. $1\frac{3}{25}$ b. $1\frac{4}{25}$ c. $\frac{3}{25}$ d. $1\frac{1}{24}$

Solution:

Read the number as one and twelve hundredths.

The number in the denominator is 100.

So, 1.12 = 112 / 100

= 112 ÷ 4100 ÷ 4
[Use the GCF to write the fraction in simplest form.]

= 13 / 25

3.
Marissa ate $\frac{1}{2}$ of a cake. Convert this fraction into a decimal. a. 0.05 b. 5 c. 0.5 d. 50

Solution: To convert fraction into decimal, divide the numerator of the fraction with the denominator.

So, the decimal for 1 / 2 is 0.5.

4.
Find the fraction for the decimal 8.9. a. $\frac{1}{89}$ b. $\frac{89}{100}$ c. $\frac{89}{10}$ d. $\frac{10}{89}$

Solution:

8.9 = 89 / 10

So, the fraction for 8.9 = 89 / 10.

5.
Find the fraction for the decimal 3.31. a. $\frac{331}{1000}$ b. $\frac{100}{331}$ c. $\frac{331}{10}$ d. $\frac{331}{100}$

Solution:

3.31 = 3 + 0.31

= 3 + 31 / 100

= 300+31 / 100 = 331 / 100

6.
Determine the fractions for the decimals given in the table.  a. $\frac{6}{100}$ and $\frac{143}{10}$ b. $\frac{6}{10}$ and $\frac{143}{100}$ c. $\frac{6}{100}$ and $\frac{143}{1000}$ d. $\frac{6}{10}$ and $\frac{143}{10}$

Solution:

0.6 = 6 / 10

1.43 = 1 + 0.43

= 1 + 43 / 100

= 143 / 100

So, the fractions for 0.6 and 1.43 are 6 / 10 and 143 / 100.

7.
Express the fraction $1\frac{11}{100}$as a decimal. a. 0.011 b. 11.1 c. 0.11 d. 1.11

Solution:

111 / 100 = 111 / 100 11 / 100 = 0.11

So, 111 / 100 = 1 + 0.11

= 1.11

8.
Identify the table that correctly represents the fractions in their decimal form.  a. Table B b. Table C c. Table A d. Table B and Table C

Solution:

17 / 100 = 1 + 7 / 100

7 / 100 = 0.07

So, 17 / 100 = 1 + 0.07 = 1.07

20 / 100 = 0.2

So, Table-A is the correct answer.

9.
Express one and two hundredths as a decimal. a. 12 b. 1.02 c. 0.102 d. 10.2

Solution:

One and two hundredths = 12 / 100

2 / 100 = 0.02

So, 12 / 100 = 1 + 0.02

= 1.02

So, the decimal for one and two hundredths is 1.02. a. $\frac{69}{10}$ b. $\frac{6.9}{100}$ c. $\frac{69}{100}$ d. $\frac{0.69}{100}$