﻿ Fractions and Decimals Worksheets - Page 12 | Problems & Solutions Fractions and Decimals Worksheets - Page 12

Fractions and Decimals Worksheets
• Page 12
111.
Emily had 9 cups of ice cream to serve her two children. She served $\frac{9}{2}$ cups of ice cream to each one. Write the fraction of ice cream she served to each child in decimal form. a. 4.5 b. 3.5 c. 5.5 d. None of the above

Solution:

92
[Original fraction.]

= 4.5
[Divide 9 by 2 to change the fraction to a decimal.]

The decimal form of the fraction is 4.5

112.
An apple contains 55.35 calories. Change the decimal to equivalent fraction. a. $54\frac{3}{20}$ b. $54\frac{7}{20}$ c. $55\frac{3}{20}$ d. $55\frac{7}{20}$

Solution:

55.35
[Original number.]

= 5535100
[Since 55.35 is 55 and 35 hundredths, use 100 as denominator to express 55.35 as a mixed number.]

= 5535÷5100÷5
[Write the fraction in its simplest form using GCF.]

= 55720

The equivalent fraction for the decimal is 557 / 20.

113.
One cup of plain yogurt contains 2.2 mg of zinc. Find the equivalent fraction for the decimal. a. $2\frac{1}{5}$ mg b. $2\frac{3}{5}$ mg c. $2\frac{4}{5}$ mg d. $2\frac{2}{5}$ mg

Solution:

2.2 = 2210
[Since 2.2 is 2 and 2 tenths, use 10 as a denominator to express 2.2 as a mixed number.]

= 22÷210÷2
[Write the fraction in simplest form using the GCF.]

= 215

The equivalent fraction for 2.2 mg is 21 / 5 mg.

114.
Jason can walk $3\frac{1}{6}$ miles in an hour. Convert the fraction into decimal. a. 6.16 miles b. 4.16 miles c. 3.16 miles d. 5.16 miles

Solution:

316 = 3 + 16
[Write the mixed number as a sum of whole number and the fraction.]

= 3 + 0.16
[Change the fraction to a decimal; Divide the numerator by the denominator.]

= 3.16

Jason walks 3.16 miles in one hour.

115.
3 trousers can be made from $105\frac{3}{7}$ in. of fabric. Express the fraction in decimal. a. 106.42 in. b. 105.42 in. c. 103.42 in. d. 104.42 in.

Solution:

10537 = 105 + 37
[Write the mixed number as a sum of whole number and the fraction.]

= 105 + 0.42
[Change the fraction to a decimal, divide the numerator by the denominator.]

= 105.42

So, the decimal for the fraction 1053 / 7 is 105.42.

116.
Chris bought a pen and paid $0.92 for it. Write the cost of the pen as a fraction. a.$$\frac{23}{25}$ b. $$\frac{2}{23}$ c.$$\frac{2}{25}$ d. None of the above

Solution:

0.92 = 92100
[Since 0.92 is 92 hundredths, use 100 as denominator to express 0.92 as a fraction.]

= 92÷4100÷4
[Write the fraction in simplest form using the GCF.]

= 2325

So, the pen cost is \$23 / 25.

117.
The length of a dolphin is $3\frac{3}{4}$ ft. Convert the length of the dolphin into decimal. a. 3.75 b. 4.75 c. 2.75 d. 5.75

Solution:

334 = 3 + 34
[Write the mixed number as a sum of whole number and the fraction.]

= 3 + 0.75
[Change the fraction to a decimal; Divide the numerator by the denominator.]

= 3.75

The equivalent decimal is 3.75

118.
The mass of the Earth is $\frac{1}{318}$ of the mass of the Jupiter. Write the decimal for the fraction. a. 0.002 b. 0.003 c. 0.004 d. 0.001

Solution:

1318 = 0.003144654088
[Change the fraction to a decimal; Divide the numerator by the denominator.]

» 0.003
[Round to the nearest thousandths.]

The decimal for the fraction 1 / 318 » 0.003

119.
An alligator is 10.32 ft long. Express its length as a fraction. a. 10$\frac{9}{25}$ ft b. $11\frac{8}{25}$ ft c. 10$\frac{11}{25}$ ft d. $10\frac{8}{25}$ ft

Solution:

10.32 = 1032100
[Since 10.32 is 10 and 32 hundredths, use 100 as denominator to express 10.32 as a mixed number.]

= 1032÷4100÷4
[Write the fraction in simplest form using the GCF.]

= 10825
[Simplify.]

The alligator is 108 / 25 ft long.

120.
A bag has 10 marbles, $\frac{3}{5}$ of which are red marbles. Express the fraction as a decimal. a. 0.6 b. 1 c. 0.8 d. 6

Solution:

Divide 3 by 5

5)0.6 / 3.0
-3.0
0

3 / 5 = 0.6

So, the decimal equivalent of 3 / 5 is 0.6.