﻿ Fractions and Decimals Worksheets - Page 8 | Problems & Solutions

# Fractions and Decimals Worksheets - Page 8

Fractions and Decimals Worksheets
• Page 8
71.
Write $\frac{4}{3}$ as a decimal.
 a. 1.$\stackrel{‾}{6}$ b. 1.3 c. 1.$\stackrel{‾}{3}$ d. None of the above

#### Solution:

43 = 1.33333...
[Divide.]

= 1.3
[Place a bar on the digit 3 since 3 repeats.]

72.
Write the numbers $\frac{1}{4}$, 1.3 and - $\frac{2}{3}$ from the least to the greatest.
 a. $\frac{1}{4}$ < 1.3 < - $\frac{2}{3}$ b. $\frac{1}{4}$ < - $\frac{2}{3}$ < 1.3 c. - $\frac{2}{3}$ < $\frac{1}{4}$ < 1.3 d. None of the above

#### Solution:

14 = 0.25
[Divide.]

- 23 = -0.67
[Divide.]

The order from least to greatest is -0.67 < 0.25 < 1.3

= - 23 < 14 < 1.3

73.
Write 5.50 as a mixed number in its simplest form.
 a. 5 b. $4\frac{1}{2}$ c. $5\frac{1}{2}$ d. None of the above

#### Solution:

5.50 = 550100
[Keep the whole number 5. Write 50 hundredths as a fraction.]

= 5(50÷50)(100÷50)
[Divide the numerator and denominator by G.C.F, 50.]

= 512
[Simplify.]

5.50 = 51 / 2

74.
Write 3.006 as a mixed number in its simplest form.
 a. $4\frac{3}{500}$ b. $2\frac{3}{500}$ c. $3\frac{3}{500}$ d. None of the above

#### Solution:

3.006 = 361000
[Keep the whole number 3. Write 6 thousandths as a fraction.]

= 36÷21000÷2
[Divide numerator and denominator by G.C.F 2.]

= 33500
[Simplify.]

75.
Write 0.$\stackrel{‾}{9}$ as a fraction in its simplest form.
 a. $\frac{8}{9}$ b. 1 c. $1\frac{2}{9}$ d. $1\frac{1}{9}$

#### Solution:

Let n be the number, which is equal to the decimal 0.9 .

10 x n = 0.9 x 10
[Since 1 digit is repeated, multiply each side by 10.]

10n - n = 9.9 - 0.9
[Use subtraction property of equality. So subtract to eliminate 0.9 .]

9n = 9
[Subtract each side to eliminate 0.9 .]

9n9 = 99
[Divide each side by 9.]

n = 1
[Simplify.]

76.
Ed ate $\frac{2}{3}$ of the burger. Write the fraction of burger he ate as a decimal.
 a. 0.867 b. 1.667 c. 0.967 d. 0.667

#### Solution:

The fraction of burger eaten by Ed is 2 / 3.

23 = 2 ÷ 3

= 0.667
[Divide.]

77.
Write $6\frac{1}{8}$ as a decimal.
 a. 7.125 b. 6.525 c. 6.325 d. 6.125

#### Solution:

618 = 498
[Write as an improper fraction.]

= 49 ÷ 8

= 6.125
[Divide.]

78.
Identify the fraction $\frac{7}{8}$ as a decimal.
 a. 0.88 b. 8.75 c. 0.875 d. 1.142

#### Solution:

7 / 8 = 7 ÷ 8
[Divide numerator with denominator.]

The decimal equivalent of the fraction is 0.875.

79.
Express the mixed number $2\frac{7}{12}$ as a decimal using long division method.
 a. 2.583.. b. 2.567.. c. 2.578.. d. None of the above

#### Solution:

Using long division method keep the whole number 2 and simplify the fraction 7 / 12.

Here the quotient is a repeating decimal. Hence, 7 / 12= 0.583
[The bar over the 3 means that the digit 3 repeats.]

= 2 + 0.583 = 2.583

The mixed number 27 / 12can be written as a decimal 2.583 .

80.
Express the model in decimal form.

 a. 0.5 b. 0.4 c. 0.3 d. None of the above

#### Solution:

The model represents a fraction of 4 / 10.

Using pencil and paper

The model represents a decimal of 0.4