Adding and Subtracting Fractions Worksheet

**Page 1**

1.

Which model represents the product of the fractions $\frac{3}{2}$ and $\frac{4}{14}$ ?

a. | Figure 4 | ||

b. | Figure 3 | ||

c. | Figure 2 | ||

d. | Figure 1 |

[Original expression.]

[Simplify.]

=

[Multiply numerators and denominators separately.]

=

[Simplify.]

The fraction

So, Figure 4 is the model representing the product of the fractions

Correct answer : (1)

2.

Write the product statement of the numbers represented by the letters **C**, **G** and **B** on the number line.

a. | 0.4 × 0.8 × 0.2 | ||

b. | 0.8 × 1.2 × 0.2 | ||

c. | 0.4 × 1.2 × 0.2 | ||

d. | 0.2 × 0.6 × 0.4 |

So, the product statement of the numbers represented by the given letters is 0.4 × 1.2 × 0.2.

Correct answer : (3)

3.

The difference between Jones' height and John's height is 22.6 cm. Identify the expression that tells you Jones' height, if John's height is 157.3 cm.

a. | $\frac{157.3}{22.6}$ cm | ||

b. | 157.3 - 22.6 cm | ||

c. | 157.3 + 22.6 cm | ||

d. | ( 157.3) × (22.6) cm |

Jones' height - John's height = 22.6

[Original expression.]

[Substitute the values.]

[Add 157.3 to each side.]

So, Jones' height is 157.3 + 22.6 cm.

Correct answer : (3)

4.

Subtract:

$\frac{9}{\mathrm{24}}$ - $\frac{8}{\mathrm{27}}$

a. | $\frac{\mathrm{17}}{8}$ | ||

b. | $\frac{\mathrm{17}}{\mathrm{216}}$ | ||

c. | 1 | ||

d. | $\frac{\mathrm{17}}{9}$ |

[Use LCD 216 to write equivalent fractions.]

=

[Simplify.]

=

[Since the denominators are equal, subtract the numerators.]

=

Correct answer : (2)

5.

Katie ate $\frac{1}{4}$ of a burger. How much more of the burger should she eat to complete $\frac{5}{8}$ of the burger?

a. | $\frac{3}{8}$ | ||

b. | $\frac{4}{9}$ | ||

c. | $\frac{1}{2}$ | ||

d. | $\frac{6}{11}$ |

=

[Use LCD 8 to write equivalent fractions.]

=

[Since the denominators are equal, subtract the numerators.]

=

She has to eat

Correct answer : (1)

6.

Find the sum of - $\frac{7}{9}$ and $\frac{8}{9}$.

a. | $\frac{1}{5}$ | ||

b. | $\frac{3}{11}$ | ||

c. | $\frac{1}{3}$ | ||

d. | $\frac{1}{9}$ |

[Original expression.]

=

[Since the denominators are equal, add the numerators.]

=

The sum of -

Correct answer : (4)

7.

Christina and Lydia are plucking oranges in an orchard. Christina has plucked $\frac{3}{7}$ of the oranges and Lydia has plucked $\frac{3}{10}$ of the oranges. What fraction of oranges did Christina and Lydia pluck together?

a. | $\frac{26}{35}$ | ||

b. | $\frac{5}{7}$ | ||

c. | $\frac{51}{71}$ | ||

d. | $\frac{51}{70}$ |

[Original expression.]

[Use LCD 70 to write equivalent fractions.]

=

=

[Since the denominators are equal, add the numerators.]

=

Christina and Lydia plucked

Correct answer : (4)

8.

a. | $\frac{3}{20}$ | ||

b. | $\frac{1}{19}$ | ||

c. | $\frac{1}{18}$ | ||

d. | $\frac{2}{19}$ |

[Original expression.]

=

[Use LCD 18 to write equivalent fractions.]

=

[Simplify.]

=

[Since the denominators are equal, subtract the numerators.]

=

[Simplify.]

Correct answer : (3)

9.

Charlie and Jeff are picking up trash along the highway. Together they have picked up $\frac{10}{11}$ of the trash. Jeff has picked up $\frac{9}{22}$ of the trash. Find the fraction of trash picked up by Charlie.

a. | $\frac{1}{2}$ | ||

b. | $\frac{9}{22}$ | ||

c. | $\frac{1}{4}$ | ||

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

[Original e×pression.]

=

[Write the fractions with the same denominator using their LCD, 22.]

=

[Simplify.]

=

[Subtract the numerators.]

=

[Simplify.]

Charlie picked up

Correct answer : (1)

10.

A survey taken reported that $\frac{9}{19}$^{th} of the population listened to the President's speech. If the margin for error is plus or minus $\frac{4}{38}$, then what are the maximum and minimum values for the actual number of people who listened the speech?

a. | $\frac{3}{5}$ and $\frac{5}{13}$ | ||

b. | $\frac{23}{39}$ and $\frac{5}{13}$ | ||

c. | $\frac{11}{19}$ and $\frac{7}{19}$ | ||

d. | None of the above |

[The LCD is 38.]

=

[Write the equivalent fractions with a denominator of 38.]

=

[Add the numerators.]

=

[Simplify.]

The actual population less than the estimated value =

[The LCD is 38.]

=

[Write the equivalent fractions with a denominator of 38.]

=

[Subtract the numerators.]

=

[Simplify.]

The possible values for the actual population could be

Correct answer : (3)