Adding and Subtracting Fractions Worksheets

**Page 1**

1.

Tanya takes half an hour to reach the dance class. She practices dance for $\frac{1}{4}$ of an hour in the morning and $\frac{1}{3}$ of an hour in the evening. What is the time spent on dance practice?

a. | $\frac{7}{12}$ of an hour | ||

b. | $\frac{2}{3}$ of an hour | ||

c. | $\frac{1}{12}$ of an hour | ||

d. | $\frac{3}{5}$ of an hour |

[Time spent in the morning + Time spent in the evening]

=

[Write equivalent fractions using the LCD, 12.]

=

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

Tanya spent

Correct answer : (1)

2.

At a bakery, each cake was cut into 8 equal pieces. Andrew sold 5 pieces of a cake, Amy sold 4 pieces of another, and Sarah sold 7 pieces of another. Which expression can be used to find the total number of cakes sold by these 3 people?

a. | $\frac{8}{5}$ + $\frac{8}{4}$ + $\frac{8}{7}$ | ||

b. | 1 - $\frac{7}{8}$ - $\frac{5}{8}$ - $\frac{4}{8}$ | ||

c. | $\frac{5}{8}$ + $\frac{4}{8}$ + $\frac{7}{8}$ | ||

d. | 1 + $\frac{5}{8}$ + $\frac{4}{8}$ + $\frac{7}{8}$ |

Amy sold

Sarah sold

So, the expression that represents the total number of cakes sold by these 3 people =

Correct answer : (3)

3.

Steve bought $2\frac{3}{5}$ pounds of grapes, $1\frac{2}{5}$ pounds of nuts, and $3\frac{4}{5}$ pounds of apples. Which expression can be used to find the total weight of all the three items that Steve bought?

a. | 2$\frac{3}{5}$ + 1$\frac{2}{5}$ + 3$\frac{4}{5}$ | ||

b. | 2$\frac{3}{5}$ + 1$\frac{2}{5}$ | ||

c. | 1 + 2$\frac{3}{5}$ + 1$\frac{2}{5}$ + 3$\frac{4}{5}$ | ||

d. | 1 - 2$\frac{3}{5}$ + 1$\frac{2}{5}$ + 3$\frac{4}{5}$ |

So, the expression that can be used to find the total weight of all the three items that Steve bought = 2

Correct answer : (1)

4.

Tim ate $\frac{3}{5}$ of a pie. Sunny ate $\frac{1}{5}$ of a pie. Carlos ate $1\frac{2}{10}$ pies. Which expression can be used to find the total number of pies consumed by these 3 boys?

a. | 1 - $\frac{3}{5}$ + $\frac{1}{5}$ + 1$\frac{2}{10}$ | ||

b. | $\frac{3}{5}$ + $\frac{1}{5}$ + 1$\frac{2}{10}$ | ||

c. | $\frac{3}{5}$ + $\frac{1}{5}$ + $\frac{2}{10}$ | ||

d. | 1 + $\frac{3}{5}$ + $\frac{1}{5}$ + 1$\frac{2}{10}$ |

Sunny ate

Carlos ate

So, the expression that represents the total number of pies consumed by these 3 boys =

Correct answer : (2)

5.

Which statement leads you through to estimate mentally the quotient of $\frac{117}{50}$ to the nearest tenth?

I. Use a calculator.

II. Check for numbers that multiply with 50 to give 117.

III. The fraction is easily convertible to a fraction with a denominator of 100.

I. Use a calculator.

II. Check for numbers that multiply with 50 to give 117.

III. The fraction is easily convertible to a fraction with a denominator of 100.

a. | III | ||

b. | I and II | ||

c. | II | ||

d. | I |

Statement II is about trial and error method. You keep trying different numbers until you find the relevant one, and sometimes you may not find one.

As suggested in statement III, we shall convert the fraction

Among the statements given, statement III would lead us through the estimation.

Correct answer : (1)

6.

Estimate using compatible numbers the sum of $\frac{64}{21}$ and $\frac{55}{112}$ to the nearest tenth.

a. | 3.0 | ||

b. | 3.5 | ||

c. | 4.5 | ||

d. | 4.0 |

[64 is close to 63 and is compatible with 21.]

[112 is close to 110 and is compatible with 55.]

So,

Correct answer : (2)

7.

Annie had a board $2\frac{1}{3}$ ft long. She bought another board $1\frac{1}{5}$ ft long and attached it to the first one. Estimate the total length of the board.

a. | 6 ft | ||

b. | 3 ft | ||

c. | 2 ft | ||

d. | 5 ft |

[

Length of the board attached =

[

Therefore, the total length of the board =

Correct answer : (2)

8.

A container holds $10\frac{1}{9}$ pints of liquid. If $\frac{1}{5}$ of it is juice, estimate the quantity of juice in the container.

a. | 4 pints | ||

b. | 6 pints | ||

c. | 8 pints | ||

d. | 2 pints |

10

[

Quantity of juice in the container

Quantity of juice in the container is 2 pints.

Correct answer : (4)

9.

Andrew bought a cake. He gave $\frac{1}{4}$ of it to his brother, $\frac{1}{6}$ of it to his sister, and $\frac{1}{2}$ of it to his friend. What fraction of the cake did he distribute?

a. | $\frac{7}{12}$ | ||

b. | $\frac{1}{12}$ | ||

c. | $\frac{5}{12}$ | ||

d. | $\frac{11}{12}$ |

=

=

[Take LCD and add.]

The fraction of cake he distributed is

Correct answer : (4)

10.

Lauren ate $\frac{1}{5}$ of a pizza and Zelma ate $\frac{1}{4}$ of it. Which operation would help you to find the fraction of pizza that Lauren and Zelma ate in all?

a. | addition | ||

b. | division | ||

c. | multiplication | ||

d. | subtraction |

The fraction of pizza that Lauren and Zelma ate is found using the operation additon.

Correct answer : (1)