﻿ Fractions, Decimals and Percents Worksheet | Problems & Solutions

# Fractions, Decimals and Percents Worksheet

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

#### Solution:

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

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

= 625

So, the equivalent fraction for 0.24 is 625.

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

#### Solution:

0.844 = 8441000
[Convert the decimal part to a fraction.]

= 844 ÷ 41000 ÷ 4
[Divide the numerator and the denominator by their GCF, 4.]

= 211250

So, the equivalent fraction for 0.844 is 211250.

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 #### Solution:$22.42 $22.00 [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.

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. $\frac{24}{100}$

#### Solution:

The problem asks us to find the fraction equivalent to 0.024 with the help of the thousandths cube shown.

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 24 / 1000 represents the fraction of small cubes missing on the thousandths cube.

So, 0.024 = 24 / 1000.
[The problem says that a thousandths cube is shown with 0.024 missing.]

5.
Estimate the quotient of 6.149 divided by 0.61.
 a. 0.1 b. 1 c. 10 d. 2

#### Solution:

Round 6.149 to 6 and 0.61 to 0.6.
[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.

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 #### Solution:$11.98 $12 Cost of 2 m of fabric$12.

So, cost of 1 m of fabric $6. 6.15 m 6 m Cost of 6 m of fabric 6 =$36

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

7.
Vanessa ate $\frac{1}{2}$ of a pizza. Which decimal represents the fraction of pizza that she ate?
 a. 0.5 b. 2 c. 0.48 d. 4.8

#### Solution:

1 / 2 = 0.5
[Simplify.]

So, Vanessa ate 0.5 of the pizza.

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

#### Solution:

3 / 4 = 0.75
[Simplify.]

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

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

#### Solution:

0.325 = 325 / 1000
[Since 0.325 is 3 tenths, 2 hundredths, and 5 thousandths use 1000 as denominator to express 0.325 as a fraction. ]

= 325÷25 / 1000÷25
[Simplify 325 / 1000 using the GCF 25.]

= 13 / 40.

The equivalent fraction for 0.325 is 13 / 40.