Fractions and Decimals Worksheets - Page 7

Fractions and Decimals Worksheets
• Page 7
61.
Arthur had 1 lb of apricots. He gave 0.4 lb of them to his friend Frank. Identify an equivalent fraction for the decimal representing the number of apricots given to his friend.
 a. $\frac{1}{2}$ b. $\frac{2}{5}$ c. $\frac{5}{8}$ d. $\frac{4}{7}$

Solution:

0.4 = 410
[Convert the decimal number into a fraction.]

= 4÷210÷2
[Divide the numerator and the denominator by their GCF, 2.]

= 25
[Simplify.]

The equivalent fraction for the decimal is 2 / 5.

62.
Sam ate 25 hundredths pounds of chocolate chip cookies while walking. What is the equivalent fraction of chocolate chip cookies he ate?
 a. 2$\frac{1}{20}$ b. 2500 lb c. $\frac{1}{4}$ lb d. $\frac{1}{25}$lb

Solution:

25 hundredths = 0.25

0.25 = 25100
[Write as a fraction.]

= 25÷25100÷25
[Simplify by dividing the numerator and the denominator by their GCF, 25.]

= 14

Sam ate 1 / 4 lb chocolate chip cookies.

63.
The length of the side of a dice is 0.24 in. Identify the length of the side of the dice as a fraction in its simplest form.
 a. $\frac{24}{100}$ in. b. $\frac{12}{50}$ in. c. $\frac{36}{625}$ in. d. $\frac{6}{25}$ in.

Solution:

0.24 in. = 24100
[Convert the decimal number to a fraction.]

= 24 ÷ 4100 ÷ 4
[Divide the numerator and the denominator by their GCF, 4.]

= 625
[Simplify.]

The length of side of dice in the form of a fraction is 6 / 25 in.

64.
Emily had 1 lb of corn chips. She gave 0.30 lb of it to her friend Paula. Write a fraction for the quantity of corn chips Emily gave to Paula.
 a. $\frac{4}{11}$ b. $\frac{1}{4}$ c. $\frac{3}{10}$ d. $\frac{5}{12}$

Solution:

0.30 = 30100
[Convert the decimal number to a fraction.]

= 30÷10100÷10
[Divide the numerator and the denominator by their GCF, 10.]

= 310
[Simplify.]

Emily gave 3 / 10 lb of corn chips to Paula.

65.
Andrew bought stamps for $43.50. Express the cost of the stamps as fraction.  a.$43$\frac{1}{20}$ b. $$43\frac{50}{100}$ c.$$43\frac{1}{2}$ d. $$43\frac{5}{100}$ Solution: 43.50 = 4350100 [Convert the decimal part to fraction.] = 43(50÷50)(100÷50) [Divide the fraction by 50, the GCF of 50 and 100.] = 4312 [Simplify.] The equivalent fraction for the cost of the stamps is$431 / 2.

66.
There are two supporting cables for the Golden Gate Bridge. The diameter of each wire in the two cables is 0.234 in. Find the equivalent fraction of the diameter of each wire in the cables.
 a. $\frac{33}{250}$ in. b. $\frac{61}{500}$ in. c. $\frac{117}{500}$ in. d. $\frac{127}{1000}$ in.

Solution:

0.234 = 2341000
[Write as a fraction.]

= (234÷2)(1000÷2)
[Divide the fraction by the GCF of 234 and 1000 i.e. 2.]

= 117500
[Simplify.]

The diameter of each wire in the two cables is 117 / 500 in.

67.
The average rainfall in two different cities are 19.13 in. and 29.76 in. Which of the following is the best estimate of the difference between the two rainfalls?
 a. 11 in. b. 20 in. c. 30 in. d. 1.1 in.

68.
Roy bought a toy car for $1.64 and his sister bought a Barbie doll for$5.42. Estimate the money they spent.
 a. $7 b.$10 c. $5 d.$4

69.
Convert $\frac{5}{9}$ as a decimal and find the digit that repeats.
 a. 2 b. 1 c. 3 d. 5

Solution:

59 = 0.555...
[Divide.]

= 0.5
[Place the bar on 5 since 5 is repeated.]

The digit that repeats is 5.

70.
Convert $\frac{13}{11}$ as a decimal and find the digits that repeat in the quotient.
 a. 11 b. 2 c. 8 d. 18

Solution:

1311 = 1.181818...
[Divide.]

= 1.18
[Place the bar on 18 since it repeats.]

The block of digits that repeat is 18.