﻿ Addition and Subtraction of Mixed Numbers Worksheet | Problems & Solutions

# Addition and Subtraction of Mixed Numbers Worksheet

Addition and Subtraction of Mixed Numbers Worksheet
• Page 1
1.
What is the value of $7\frac{5}{9}$ - $4\frac{8}{9}$ to the nearest whole number?
 a. 2 b. 1 c. 3 d. 4

#### Solution:

$7\frac{5}{9}$ $\approx$ 8
[Because 5 / 9 > 1 / 2, round up to 8.]

48 / 9 5
[Because 8 / 9 > 1 / 2, round up to 5.]

So, 8 - 5 = 3.

2.
What is the value of $5\frac{2}{7}$ - $3\frac{1}{7}$ to the nearest whole number?
 a. 3 b. 2 c. 1 d. 4

#### Solution:

52 / 7 5
[Because 2 / 7 < 1 / 2, round down to 5.]

31 / 7 3
[Because 1 / 7 < 1 / 2, round down to 3.]

So, 5 - 3 = 2.

3.
Chris used $5\frac{7}{9}$ cup of milk for making one recipe of ice cream and $7\frac{3}{9}$ cup of milk for making another recipe. About how much milk did he use in all?
 a. 11 cups b. 12 cups c. 10 cups d. 13 cups

#### Solution:

57 / 9 6
[Because 7 / 9 > 1 / 2, round up to 6.]

73 / 9 7
[Because 3 / 9 < 1 / 2, round down to 7.]

6 + 7 = 13

So, Chris used about 13 cups of milk in all.

4.
Sam spent $$8\frac{2}{3}$ for vegetables,$$9\frac{1}{3}$ for entertainment, and $$6\frac{2}{3}$ for education. Estimate the total amount spent by him.  a.$25 b. $24 c.$26 d. $32 #### Solution: 82 / 3 9 [Because 2 / 3 > 1 / 2, round up to 9.] 91 / 3 9 [Because 1 / 3 < 1 / 2, round down to 9.] 62 / 3 7 [Because 2 / 3 > 1 / 2, round up to 7.] 9 + 9 + 7 = 25. So, Sam spent about a total of$25 in all.

5.
What is the value of $2\frac{1}{8}$ - $1\frac{1}{8}$ to the nearest whole number?
 a. 3 b. 2 c. 1

#### Solution:

21 / 8 2
[Because 1 / 8 < 1 / 2, round down to 2.]

11 / 8 1
[Because 1 / 8 < 1 / 2, round down to 1.]

So, 2 - 1 = 1.

6.
Estimate the sum of $6\frac{1}{5}$ + $2\frac{2}{5}$ + $3\frac{1}{5}$.
 a. 13 b. 12 c. 14 d. 11

#### Solution:

61 / 5 6
[Because 1 / 5 < 1 / 2, round down to 6.]

22 / 5 2
[Because 2 / 5 < 1 / 2, round down to 2.]

31 / 5 3
[Because 1 / 5 < 1 / 2, round down to 3.]

61 / 5 + 22 / 5 + 31 / 5 6 + 2 + 3 = 11.

7.
Estimate the sum of $5\frac{3}{5}$ + $4\frac{2}{5}$ + $6\frac{1}{5}$.
 a. 16 b. 14 c. 15 d. 13

#### Solution:

53 / 5 6
[Because 3 / 5 > 1 / 2, round up to 6.]

42 / 5 4
[Because 2 / 5 < 1 / 2, round down to 4.]

61 / 5 6
[Because 1 / 5 < 1 / 2, round down to 6.]

53 / 5 + 42 / 5 + 61 / 5 6 + 4 + 6 = 16.

8.
John traveled a distance of $50\frac{5}{9}$ km by his bike and car. He traveled $20\frac{7}{9}$ km by his bike. Estimate the distance he traveled by car.
 a. 22 km b. 26 km c. 30 km d. 20 km

#### Solution:

505 / 9 51
[Because 5 / 9 > 1 / 2, round up to 51.]

207 / 9 21
[Because 7 / 9 > 1 / 2, round up to 21.]

505 / 9 - 207 / 9 51 - 21 = 30
[Subtract.]

So, John traveled about 30 km by car.

9.
Estimate the sum of $1\frac{3}{4}$ + $1\frac{2}{4}$ + $2\frac{1}{4}$.
 a. 3 b. 6 c. 4 d. 5

#### Solution:

13 / 4 2
[Because 3 / 4 > 1 / 2, round up to 2.]

12 / 4 2
[Because 2 / 4 = 1 / 2, round up to 2.]

21 / 4 2
[Because 1 / 4 < 1 / 2, round down to 2.]

13 / 4 + 12 / 4 + 21 / 4 2 + 2 + 2 = 6.

10.
Hanna had $6\frac{2}{5}$ m of a ribbon from which he used $1\frac{1}{5}$ m of ribbon for decoration. Estimate how much ribbon is she left with?
 a. 7 m b. 5 m c. 4 m d. 6 m

#### Solution:

62 / 5 6
[Because 2 / 5 < 1 / 2, round down to 6.]

11 / 5 1
[Because 1 / 5 < 1 / 2, round down to 1.]

62 / 5 - 11 / 5 6 - 1 = 5
[Subtract.]

So, Hanna is left with 5 m of ribbon.