Fractions, Decimals and Percents Worksheet

**Page 1**

1.

Which fraction represents the equivalent form of the decimal 0.24?

a. | $\frac{3}{\mathrm{25}}$ | ||

b. | $\frac{6}{5}$ | ||

c. | $\frac{6}{\mathrm{25}}$ | ||

d. | $\frac{\mathrm{25}}{6}$ |

[Convert the decimal part to a fraction.]

=

[Divide the numerator and the denominator by their GCF, 4.]

=

So, the equivalent fraction for 0.24 is

Correct answer : (3)

2.

Which fraction represents the equivalent form of the decimal 0.844?

a. | $\frac{\mathrm{211}}{\mathrm{10}}$ | ||

b. | $\frac{\mathrm{211}}{\mathrm{250}}$ | ||

c. | $\frac{\mathrm{211}}{\mathrm{10000}}$ | ||

d. | $\frac{\mathrm{211}}{\mathrm{100}}$ |

[Convert the decimal part to a fraction.]

=

[Divide the numerator and the denominator by their GCF, 4.]

=

So, the equivalent fraction for 0.844 is

Correct answer : (2)

3.

Mike buys a calculator for $22.42. Estimate the sales tax at the rate of 3%.

a. | $3 | ||

b. | $6.6 | ||

c. | $66 | ||

d. | $0.66 |

[Round the decimal to nearest dollar.]

3% = 0.03

[Write the percent as a decimal.]

Sales tax = 0.03 × 22 = 0.66

[Multiply.]

So, the sales tax is about $0.66.

Correct answer : (4)

4.

A thousandths cube is shown with 0.024 missing. Which fraction is equivalent to 0.024?

a. | $\frac{124}{1000}$ | ||

b. | $1\frac{24}{1000}$ | ||

c. | $\frac{24}{1000}$ | ||

d. | $\frac{24}{100}$ |

Thousandths cube is a big cube made of 1,000 small cubes to represent the place value 'thousandths'.

Observe closely the thousandths cube shown, and you will find that the thousandths cube has 24 pieces missing out of the 1,000.

That is, the fraction

So, 0.024 =

[The problem says that a thousandths cube is shown with 0.024 missing.]

Correct answer : (3)

5.

Estimate the quotient of 6.149 divided by 0.61.

a. | 0.1 | ||

b. | 1 | ||

c. | 10 | ||

d. | 2 |

[Estimating the quotient of two decimals is to round both the divisor and dividend to one non-zero digit, and then divide the rounded decimals.]

6 ÷ 0.6 = 10

So, the estimated quotient of 6.149 divided by 0.61 is 10.

Correct answer : (3)

6.

Cost of 2 m of a fabric is $11.98. Estimate the cost of 6.15 m of the fabric.

a. | $72 | ||

b. | $40 | ||

c. | $36 | ||

d. | $66 |

Cost of 2 m of fabric

So, cost of 1 m of fabric

6.15 m

Cost of 6 m of fabric

So, the estimated cost of 6.15 m of fabric is $36.

Correct answer : (3)

7.

Vanessa ate $\frac{1}{2}$ of a pizza. Which decimal represents the fraction of pizza that she ate?

a. | 0.5 | ||

b. | 2.0 | ||

c. | 0.48 | ||

d. | 4.8 |

[Simplify.]

So, Vanessa ate 0.5 of the pizza.

Correct answer : (1)

8.

Ashley′s mother used $\frac{3}{4}$ kg of sugar to prepare a cake. Which decimal represents the fraction of sugar that she used?

a. | 0.5 | ||

b. | 2.5 | ||

c. | 0.75 | ||

d. | 7.5 |

[Simplify.]

So, Ashley′s mother used 0.75 kg of sugar to prepare a cake.

Correct answer : (3)

9.

Which one expresses the decimal number 0.325 as an equivalent fraction?

a. | $\frac{\mathrm{13}}{4}$ | ||

b. | $\frac{\mathrm{13}}{\mathrm{40}}$ | ||

c. | $\frac{\mathrm{12}}{\mathrm{38}}$ | ||

d. | $\frac{\mathrm{13}}{\mathrm{41}}$ |

[Since 0.325 is 3 tenths, 2 hundredths, and 5 thousandths use 1000 as denominator to express 0.325 as a fraction. ]

=

[Simplify

=

The equivalent fraction for 0.325 is

Correct answer : (2)

10.

Identify 0.049 as a percent.

a. | 0.49% | ||

b. | 4.90% | ||

c. | 5.90% | ||

d. | 49% |

Correct answer : (2)