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. | $\frac{1}{2}$ |

[Converting fraction into decimal form and comparing with 0.48.]

[Converting fraction into decimal form and comparing with 0.48.]

[Converting fraction into decimal form and comparing with 0.48.]

[Converting fraction into decimal form and comparing with 0.48.]

So,

Correct answer : (3)

2.

Which of the decimals is equal to $\frac{45}{12}$?

a. | 2 | ||

b. | 2.20 | ||

c. | 3.75 | ||

d. | 3.19 |

[Converting fraction into decimal form.]

So, among the choices, 3.75 is equal to

Correct answer : (3)

3.

Compare:

$\frac{18}{12}$ ____ 1.45

$\frac{18}{12}$ ____ 1.45

a. | > | ||

b. | < | ||

c. | = | ||

d. | I don′t know. |

[Converting fraction into decimal form.]

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

So,

Correct answer : (1)

4.

Compare:

18.45 ____ $\frac{75}{4}$

18.45 ____ $\frac{75}{4}$

a. | I don′t know. | ||

b. | = | ||

c. | > | ||

d. | < |

[Converting fraction into decimal form.]

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

So, 18.45 <

Correct answer : (4)

5.

Identify the decimal that is greater than $\frac{7}{10}$.

a. | 0.70 | ||

b. | 0.75 | ||

c. | 0.50 | ||

d. | 0.55 |

[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

Correct answer : (2)

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 |

[Original height of the ladder.]

The decimal 22.5 feet can be written as

So, the fractional form of the height of the ladder is

Correct answer : (2)

7.

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

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

0.33 can be written as

So, the fraction equivalent to the decimal is

Correct answer : (0)

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. | $\frac{5}{10}$ |

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

0.7 can be written as

So,

Correct answer : (3)

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. | $\frac{28}{100}$ |

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

0.28 can be written as

So, the fraction equivalent to the decimal is

Correct answer : (4)

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. | $\frac{6}{10}$ |

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

0.6 can be written as

So, the fraction equivalent to the decimal is

Correct answer : (4)