﻿ Mixed Numbers Worksheets | Problems & Solutions

# Mixed Numbers Worksheets

Mixed Numbers Worksheets
• Page 1
1.
Identify the mixed fraction for the model given.

 a. $3\frac{1}{4}$ b. $3\frac{1}{2}$ c. $4\frac{2}{3}$ d. $2\frac{3}{4}$

#### Solution:

The fraction modeled by the first three figures is 4 / 4, 4 / 4, 4 / 4 = 1, 1, 1.

The fraction modeled by the fourth figure is 2 / 4 = 1 / 2.

The mixed fraction modeled by the figures is 1 + 1 + 1 + 1 / 2 = 31 / 2.

2.
Carol needs $1\frac{3}{4}$ pounds of flour for one recipe and $2\frac{1}{2}$pounds of flour for another. Find the total amount of flour that she requires for both the recipes.
 a. $1\frac{3}{4}$ pounds b. 4 pounds c. $4\frac{1}{4}$ pounds d. $2\frac{1}{2}$ pounds

#### Solution:

The amount of flour required for first recipe = 13 / 4 pounds.

The amount of flour required for second recipe = 21 / 2 pounds.

Therefore, total amount required for both = 13 / 4 + 21 / 2

= 41 / 4 pounds

3.
Amy bought three oranges from market. She ate one full orange and her brother ate $\frac{3}{4}$th of another orange. How many oranges did they eat together?
 a. $2\frac{3}{4}$ oranges b. $1\frac{3}{4}$ oranges c. 1 orange d. 3 oranges

#### Solution:

Number of oranges Amy ate = 1.

Number of oranges ate by her brother = 3 / 4.

So, total number of oranges they ate together = 1 + 3 / 4

= 13 / 4 oranges

4.
Karen and Dale ordered two mushroom pizzas. The pizzas were cut into 6 slices. Dale ate one full pizza and one slice from the other pizza. How many pizzas did Dale eat in all?
 a. 7 pizzas b. $1\frac{7}{6}$ pizza c. 6 pizzas d. $1\frac{1}{6}$pizzas

#### Solution:

Each pizza is cut into 6 pieces.

The total number of pizzas ate by Dale = 1 + 1 / 6

= 11 / 6 pizzas

5.
Erika drinks 1 glass of milk in the morning, and $\frac{3}{4}$of a glass of milk in the evening, everyday. How much amount of milk does she drink everyday?
 a. $1\frac{3}{4}$ glasses b. $\frac{3}{4}$ of a glass c. 2 glasses d. 1 glass

#### Solution:

In the morning Erika drinks = 1 glass of milk.

In the evening she drinks = 3 / 4 of a glass of milk.

So, the total amount of milk that she drinks everyday = 1 + 3 / 4 = 13 / 4 glasses.

6.
Susan used 2 lb of sugar for baking a cake. Then she used $\frac{3}{4}$lb of sugar for another recipe. How much sugar did she use in all?
 a. 2 lb b. $2\frac{3}{4}$ lb c. $\frac{3}{4}$ lb d. $2\frac{1}{4}$ lb

#### Solution:

Sugar used for baking cake = 2 lb.

Sugar used for another receipe = 3 / 4lb.

Therefore, the total sugar used by Susan = 2 lb + 3 / 4 lb

= 23 / 4 lb

7.
Which number on the number line does the point M best represent?

 a. $\frac{1}{10}$ b. $1\frac{1}{4}$ c. $\frac{1}{4}$ d. $\frac{1}{3}$

#### Solution:

The length between 0 and 1 is divided into 4 equal parts.

Each part represents unit fraction, 1 / 4.

The point M is placed on the 5th part on the number line.

The fraction that represents point M on the number line is 11 / 4.

8.
Which fraction is represented by the point R on the number line?

 a. $\frac{17}{10}$ b. $\frac{19}{11}$ c. $\frac{18}{11}$ d. $\frac{18}{10}$

#### Solution:

The length between 0 and 1 is divided into 11 parts.

Each part represents 1 / 11.

The point R is marked on the 19th part on the number line.

So, 19 / 11 is the fraction represented by the point R on the number line.

9.
Which of the points represents $3\frac{1}{4}$ on the number line shown?

 a. P b. S c. Q d. R

#### Solution:

Each unit is divided into 4 parts. Each part represents 1 / 4.

The point S represents the value of 13 / 4 = 31 / 4.

10.
Identify the number line where point Q represents the fraction $1\frac{2}{5}$.

 a. Figure 1 b. Figure 3 c. Figure 4 d. Figure 2

#### Solution:

The length between 0 and 1 is divided into five equal parts.

Each part represents 1 / 5.

The fraction 12 / 5 represents the point Q marked on the 7th part on the number line.

So, Figure 1 represents the number line where point Q represents the fraction 12 / 5 .