Decimal to Fraction Worksheet

Decimal to Fraction Worksheet
• Page 1
1.
Which of the given fractions is less than 0.48?
 a. $\frac{15}{4}$ b. $\frac{12}{5}$ c. $\frac{3}{10}$ d. $\frac{1}{2}$

Solution:

12 / 5 = 2.4 is greater than 0.48.
[Converting fraction into decimal form and comparing with 0.48.]

15 / 4 = 3.75 is greater than 0.48.
[Converting fraction into decimal form and comparing with 0.48.]

1 / 2 = 0.5 is greater than 0.48.
[Converting fraction into decimal form and comparing with 0.48.]

3 / 10 = 0.3 is less than 0.48.
[Converting fraction into decimal form and comparing with 0.48.]

So, 3 / 10 is less than 0.48.

2.
Which of the decimals is equal to $\frac{45}{12}$?
 a. 2 b. 2.2 c. 3.75 d. 3.19

Solution:

45 / 12= 3.75.
[Converting fraction into decimal form.]

So, among the choices, 3.75 is equal to 45 / 12.

3.
Compare:

$\frac{18}{12}$ ____ 1.45
 a. > b. < c. = d. I don′t know.

Solution:

18 / 12 = 1.5
[Converting fraction into decimal form.]

On comparing 1.5 with 1.45, 1.5 is greater than 1.45.

So, 18 / 12 > 1.45.

4.
Compare:

18.45 ____ $\frac{75}{4}$
 a. I don′t know. b. = c. > d. <

Solution:

75 / 4 = 18.75
[Converting fraction into decimal form.]

On comparing 18.45 with 18.75, 18.45 is less than 18.75.

So, 18.45 < 75 / 4.

5.
Identify the decimal that is greater than $\frac{7}{10}$.
 a. 0.7 b. 0.75 c. 0.5 d. 0.55

Solution:

7 / 10 = 0.70
[Converting fraction into decimal form.]

0.50 and 0.55 are less than 0.70.

0.70 is equal to 0.70.

0.75 is greater than 0.70.

So, 0.75 is greater than 7 / 10.

6.
Joe made a ladder 22.5 feet long. Convert the decimal into a fraction.
 a. $22\frac{1}{5}$ feet b. $22\frac{1}{2}$ feet c. $22\frac{1}{3}$ feet d. $22\frac{1}{4}$ feet

Solution:

22.5 feet

The decimal 22.5 feet can be written as 221 / 2 feet.

So, the fractional form of the height of the ladder is 221 / 2 feet.

7.
The grid shown is shaded to represent the decimal 0.33. Identify a fraction equivalent to the decimal.

Solution:

The grid shown is divided into 100 equal parts.

As thirty-three out of hundred parts are shaded, the decimal represented by the grid is 0.33.

0.33 can be written as 33 / 100 .

So, the fraction equivalent to the decimal is 33 / 100 .

8.
Express the shaded part of the grid shown in fractional form.

 a. $\frac{3}{10}$ b. $\frac{6}{10}$ c. $\frac{7}{10}$ d. $\frac{5}{10}$

Solution:

The grid shown is divided into 10 equal parts.

As seven out of ten parts are shaded, the decimal represented by the grid is 0.7.

0.7 can be written as 7 / 10.

So, 7 / 10 is the fraction that represents the shaded part of the grid shown.

9.
The grid shown is shaded to represent the decimal 0.28. Identify a fraction equivalent to the decimal.

 a. $\frac{12}{100}$ b. $\frac{3}{10}$ c. $\frac{4}{10}$ d. $\frac{28}{100}$

Solution:

The grid shown is divided into 100 equal parts.

As twenty-eight out of hundred parts are shaded, the decimal represented by the grid is 0.28.

0.28 can be written as 28 / 100.

So, the fraction equivalent to the decimal is 28 / 100.

10.
The grid shown is shaded to represent the decimal 0.6. Identify a fraction equivalent to the decimal.

 a. $\frac{5}{10}$ b. $\frac{3}{10}$ c. $\frac{4}{10}$ d. $\frac{6}{10}$

Solution:

The grid shown is divided into 10 equal parts.

As six out of ten parts are shaded, the decimal represented by the grid is 0.6.

0.6 can be written as 6 / 10.

So, the fraction equivalent to the decimal is 6 / 10.