Fractions and Decimals Worksheets

**Page 10**

91.

Express the decimal number 0.81818181... as a fraction.

a. | $\frac{9}{11}$ | ||

b. | $\frac{41}{50}$ | ||

c. | $\frac{40}{49}$ | ||

d. | None of the above |

N = 0.81818181...

100N = 81.81818181...

[Multiply each side by 10

100N = 81.81818181...

N = 0.81818181...

-----------------------------

99N = 81.000000...

-----------------------------

[Subtract to eliminate the repeating decimal.]

99N = 81

N =

[Divide each side by 99.]

N =

[Divide the numerator and the denominator by their G.C.F.]

Correct answer : (1)

92.

In the practice session, Steven ran 21.218 miles in 2 hours and 17.365 miles in another 1 hour 30 minutes. About how many miles did he run in all?

a. | 15 | ||

b. | 50 | ||

c. | 38 | ||

d. | 20 |

Correct answer : (3)

93.

Find the decimal number that is equivalent to the fraction of 15 minutes in an hour.

a. | 0.40 | ||

b. | 0.25 | ||

c. | 0.28 | ||

d. | None of the above |

[Substitute the values..]

=

[Divide the numerator and the denominator by their G.C.F.]

= 0.25

[Convert the fraction to a decimal number.]

Correct answer : (2)

94.

Which of the following fractions is a terminating decimal?

(I) $\frac{4}{9}$

(II) $\frac{5}{4}$

(III) $\frac{8}{11}$

(I) $\frac{4}{9}$

(II) $\frac{5}{4}$

(III) $\frac{8}{11}$

a. | Both (I) and (III) | ||

b. | Both (II) and (III) | ||

c. | Only (II) | ||

d. | Only (I) |

Consider the first fraction,

[Convert the fraction into a decimal number.]

Consider the second fraction,

[Convert the fraction into a decimal number.]

Consider the third fraction,

[Convert the fraction into a decimal number.]

Among the fractions, the second fraction is a terminating decimal.

Correct answer : (3)

95.

Company1 buys 75 shares from Company2 having a total of 100 shares. Which of the following decimal numbers is equivalent to the fraction of shares left with Company2 to the total number of shares that were owned by Company2?

a. | 0.50 | ||

b. | 0.30 | ||

c. | 0.25 | ||

d. | None of the above |

=

[Substitute the values.]

=

[Subtract the numerator.]

=

[Divide the numerator and the denominator by their G.C.F.]

= 0.25

[Convert the fraction into a decimal number.]

Among the choices, the decimal number 0.25 equivalent to the fraction that represents the number of shares left with Company2 to the total number of shares that were owned by Company2.

Correct answer : (3)

96.

Which of the following decimals equals the fraction representing one piece in an eight-piece pizza?

a. | 0.5 | ||

b. | 0.4 | ||

c. | 0.125 | ||

d. | None of the above |

= 0.125

[Convert the fraction to a decimal number.]

Among the choices, the decimal that equals the fraction representing one piece in an eight-piece pizza is 0.125.

Correct answer : (3)

97.

Write the decimal, which represents the fraction of the alphabet A from the pie diagram.

a. | 0.03 | ||

b. | 0.333333........ | ||

c. | 3.3 | ||

d. | None of tha above |

The total value of the circle is 360.

The fraction that represents alphabet A is

= 0.333333......

[Writing as a decimal number.]

So, the decimal that represents the fraction of the alphabet A in the pie diagram is 0.333333......

Correct answer : (2)

98.

Jim was given 12 problems to solve as homework, of which he solved 4 in the evening and the rest at night. Find the decimal equivalent to the fraction of problems he solved at night to the total number of problems he had for homework.

a. | 0.66 | ||

b. | 0.46 | ||

c. | 0.86 | ||

d. | None of the above |

12 - 4

[Substitute the values.]

= 8

[Subtract.]

The fraction of problems he solved in the night to the total number of homework problems he had = the number of problems he solved in the night / the total number of homework problems he had.

[Substitute the values.]

= 0.66

[Convert the fraction into a decimal number.]

The decimal that is equivalent to the fraction of problems he solved in the night to the total number of homework problems he had is 0.66.

Correct answer : (1)

99.

A school organized a car wash to raise funds for a charity. Josh had to wash 37 cars. He washed 9 out of 37 cars. Write the rounded decimal number which represents the fraction of cars that are yet to be washed.

a. | 1.0 | ||

b. | 0.8 | ||

c. | 1.2 | ||

d. | None of the above |

= 37 - 9

[Substitute the values.]

= 28

[Subtract.]

The fraction of cars to be washed = (the number of cars to be washed) / (the total number of cars that he had to wash).

=

[Substitute the values.]

» 0.8

[Convert the fraction into a decimal number.]

So, the decimal number that represents the fraction of cars to be washed is 0.8.

Correct answer : (2)

100.

A theater owner sells tickets of price $4 with a discount of $1. Which of the following decimal numbers is equivalent to the fraction representing the new price?

a. | 1.85 | ||

b. | 0.95 | ||

c. | 0.75 | ||

d. | 0.55 |

= $4 - $1

[Substitute the values.]

= $3

[Subtract.]

The fraction representing the new price of the ticket = (the new price of the ticket) / (the old price of the ticket).

=

[Substitute the values.]

= 0.75

[Convert the fraction into a decimal number.]

So, the decimal number 0.75 is equivalent to the fraction representing the new price of the ticket.

Correct answer : (3)