﻿ Fractions and Decimals Worksheets - Page 9 | Problems & Solutions

Fractions and Decimals Worksheets - Page 9

Fractions and Decimals Worksheets
• Page 9
81.
Write a decimal form for the model.

 a. 3.454 b. 3.645 c. 3.625 d. None of the above

Solution:

The model represents a mixed number of 320 / 32.

Keep the whole number 3 and simplify the fraction 20 / 32. Using long division method the fraction 20 / 32 is simplified as:

2032 = 0.625

32032= 3 + 0.625
[Combine the whole number and the Fraction.]

= 3.625
[Simplify.]

The model represents a decimal of 3.625.

82.
The diameter of the cup is $3\frac{1}{2}$ inches. Express its diameter in decimal form.
 a. 3.5 inches b. 3.6 inches c. 3.4 inches d. None of the above

Solution:

Keep the whole number 3 and simplify the fraction 1 / 2 inches using long division method.

12 = 0.5

312 = 3 + 0.5
[Combine the two.]

= 3.5 inches

The diameter of the cup is 3.5 inches.

83.
Joe went for fishing. He caught a fish $\frac{5}{8}$ ft long. Which one represents the length of the fish in decimal form?
 a. 0.645 ft b. 0.625 ft c. 0.635 ft d. None of the above

Solution:

Divide 5 by 8.

5 / 8 = 0.625

The equivalent decimal for the length of the fish is 0.625 ft.

84.
Paula used $\frac{1}{4}$ of a cup of milk for preparing an ice cream. Express the amount of milk used by Paula in decimal form.
 a. 0.75 b. 0.25 c. 0.45 d. None of the above

Solution:

Using long division method we can convert a fraction into decimal.

The fraction 1 / 4 converted to a decimal is 0.25.

So, Paula used 0.25 of a cup of milk for preparing the ice cream.

85.
One bag of popcorn contains $1\frac{6}{11}$ounces of it. Express the fraction in decimal form.
 a. 1.53 b. 1.55 c. 1.$\stackrel{‾}{\mathrm{54}}$ d. 1.$\stackrel{‾}{\mathrm{63}}$

Solution:

1611
[Keep the whole number 1 and simplify the fraction 6 / 11.]

Using long division method we can simplify the fraction 6 / 11

6 / 11 = 0.54

One bag of popcorn contains 1.54 ounces of popcorn.

86.
Justin and Charles went for skating. The diameter of the wheels of the skating shoe is $1\frac{1}{4}$ inches. Express the fraction in decimal form.
 a. 1.24 inches b. 1.25 inches c. 1.30 inches d. None of the above

Solution:

114
[Keep the whole number 1 and Simplify the fraction 1 / 4.]

Using long division method we can simplify the fraction.

114 = 1 + 0.25 = 1.25

The diameter of the skating shoe is 1.25 inches.

87.
Paul bought 2.83 lb of broccoli, 0.75 lb of turnip, and 1.14 lb of potatoes. Which of the following is the best estimate of the total weight?
 a. 4 lb b. 3 lb c. 5 lb d. 6 lb

88.
Express the fraction $\frac{-16}{33}$ as a decimal to four places.
 a. 0.4849 b. - 0.4848 c. 0.4848 d. - 0.4849

Solution:

-1633
[Original fraction.]

= - 0.4848
[Divide.]

89.
Write the decimal number 0.$\stackrel{‾}{8}$ as a fraction.
 a. $n$ = $\frac{8}{9}$ b. $n$ = $\frac{8}{13}$ c. $n$ = $\frac{8}{11}$ d. None of the above

Solution:

n = 0.8
Let the variable n equal the decimal.

100n = 88.88
[Multiply each side by 102, or 100, because 2 digits repeat.]

100n = 88.888888...........
-   n =   0.888888...........
-----------------------------
99n = 88.000000...........
-----------------------------

[Subtract to eliminate the repeating decimal.]

99n99 = 8899
[Divide each side by 99.]

n = 8899
[Simplify.]

n = 89
[Divide the numerator and the denominator by their G.C.F, 11.]

So, the fraction of the decimal number 0.8 is 8 / 9.

90.
Express the fraction $2\frac{3}{4}$ as a decimal number.
 a. 2.75 b. 3.15 c. 5.15 d. None of the above

Solution:

234
[Original fraction.]

= 114
[Write the mixed fraction as an improper fraction.]

= 2.75
[Divide.]