﻿ Fractions and Decimals Worksheets - Page 11 | Problems & Solutions

# Fractions and Decimals Worksheets - Page 11

Fractions and Decimals Worksheets
• Page 11
101.
Jerald rides 6 mi east away from his house and then turns towards south and rides for 4 mi on his bicycle. Which of the following decimal numbers equals to the fraction representing the distance he traveled towards the south?
 a. 1.1 b. 0.6 c. 0.4 d. 1

#### Solution:

The total distance traveled by Jerald = the distance he traveled towards the east direction + the distance he traveled towards the south direction.

= 6 mi + 4 mi
[Substitute the values.]

= 10 mi

The fraction representing the distance he traveled towards the south direction = (the distance he traveled towards the south direction) / (the total distance he traveled).

= 410
[Substitute the values.]

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

So, among the choices, the decimal number 0.4 equals the fraction representing the distance he traveled towards the south direction.

102.
The cost of 7 ounces of an oil is $36.4. Danielle wants to buy 6 ounces of oil. Find the decimal equivalent representing the fraction of the cost of oil Danielle wants to buy.  a. 0.857 b. 0.87 c. 0.877 d. 0.86 #### Solution: Let the variable c equal the cost of one ounce of oil. The cost of 7 ounces of oil is 7c =$36.4.

c = 36.47
[Divide each side by 7.]

c = 5.2
[Simplify.]

The cost of 6 ounces of oil = 6c = 6 x 5.2
[Substitute 5.2 for c.]

= 31.2
[Multiply.]

The fraction of the cost of oil that Danielle wants to buy = (the cost of 6 ounces of oil) / (the cost of 7 ounces of oil).

= 31.236.4
[Substitute the values.]

= 0.857
[Convert the fraction into a decimal number.]

The decimal equivalent representing the fraction of the cost of oil that Danielle wants to buy is 0.857.

103.
A student appeared for an English test and scored 83 out of 100. Which decimal number represents the fraction of the student's score?
 a. 0.0083 b. 0.083 c. 0.83 d. 8.3

#### Solution:

The fraction that represents the student's score = the points scored by the studentthe total score.

= 83100
[Substitute the values.]

= 0.83
[Convert the fraction into a decimal number.]

So, the decimal number that equals the fraction of student's score is 0.83.

104.
A rope of length 100 cm is cut into three pieces. The length of two of the pieces are 20 cm and 24 cm. Find the decimal number that equals the fraction of the length of the third piece.
 a. 0.56 b. 0.24 c. 0.80 d. None of tha above

#### Solution:

The length of the third piece = the length of the original rope - the sum of the lengths of the other two pieces.

= 100 - (20 + 24)
[Substitute the values.]

= 100 - 44

= 56
[Subtract.]

The fraction of the length of the third piece = (the length of the third piece) / (the length of the original rope).

= 56100
[Substitute the values.]

= 0.56
[Convert the fraction into a decimal number.]

The decimal number that equals the fraction of the length of the third piece is 0.56.

105.
One ounce of milk costs $0.13. Alice spends$3.12 on milk every day. How many ounces of milk does Alice buy each day?
 a. 40.56 b. 24 c. 23.2 d. 35

106.
1 cup of cooked black beans contains 3.6 mg of iron. Write the equivalent fraction for the decimal.
 a. $3\frac{3}{5}$ mg b. $4\frac{3}{5}$ mg c. $2\frac{3}{5}$ mg d. None of the above

#### Solution:

3.6 = 3610
[Since 3.6 is 3 and 6 tenths, use 10 as denominator to express 3.6 as a mixed number.]

= 36÷210÷2
[Simplify 6 / 10 using the GCF 2.]

= 335

The equivalent fraction for 3.6 mg is 33 / 5 mg.

107.
Express the fraction $\frac{6}{13}$ in decimal form.
 a. 0.0046 b. 0.462 c. 0.0462 d. None of the above

#### Solution:

613 = 0.4615..
[Convert the fraction into a decimal number.]

» 0.462
[Round to the nearest thousandths.]

The decimal form of the fraction 6 / 13 » 0.462

108.
Express the decimal number 0.945 as an equivalent fraction.
 a. $\frac{190}{201}$ b. $\frac{189}{200}$ c. $\frac{63}{67}$ d. None of the above

#### Solution:

0.945
[Original decimal number.]

= 9451000
[Convert the decimal number to a fraction.]

= 945÷51000÷5
[Write the fraction in its simplest form using GCF.]

= 189200
[Simplify.]

The equivalent fraction of the decimal number 0.945 is 189 / 200.

109.
Express the decimal number 9.15 as an equivalent fraction.
 a. $9\frac{3}{21}$ b. $9\frac{3}{20}$ c. $9\frac{4}{21}$ d. None of the above

#### Solution:

9.15
[Original decimal number.]

= 915100
[Since 9.15 is 9 and 15 hundredths, use 100 as denominator to express 9.15 as a mixed number.]

= 915÷5100÷5
[Write the fraction in its simplest form using GCF.]

= 9320
[Simplify.]

The equivalent fraction of the decimal number 9.15 is 93 / 20.

110.
Chris's car can hold $3\frac{1}{3}$ gallons of gasoline. Write the fraction in decimal form.
 a. 5.33 b. 3.33.. c. 6.33.. d. 4.33

#### Solution:

313 = 3 + 13
[Write the mixed number as a sum of whole number and the fraction.]

= 3 + 0.33...
[Change the fraction to a decimal.]

= 3.33..