Operations with Mixed Numbers

Lesson 5

1.

2.

3.

4.

6

5

5

4

3

1

9

4

10

7

3

1

5

1

15

2

Find the value of each expression. Write each answer in simplest form.

Target: Add, subtract, multiply or divide mixed numbers.

1. Write each mixed number as an improper fraction.

2. Follow the procedures for adding, subtracting, multiplying or dividing fractions.

3. Write the answer in simplest form. Convert the answer to a mixed number if needed.

Find the value of .

Change to improper fractions.

Write equivalent fractions with the same denominator.

Add numerators.

Write as a mixed number.

87

41 12

8

151 and

4

92 8

741

8

18

4

9

8

33

8

15

8

18

814

8

33

Madison had a rope that was 8 feet long. She cut off a piece for a friend that was feet long. How much rope does she have left?

Write the problem.

Make improper fractions.

Write with the same denominator.

Subtract numerators.

Write as a mixed number.

435

4358

4

235 and

1

88 4

3

4

32

1

8

4

9

4

23

4

32

412

4

9 feet of rope left

Find the value of .

Write as an improper fraction.

Multiply.

Simplify.

103

612

613

612

60

39

10

3

6

13

20

13

60

39

2013

103

612

Iona runs six days each week. Each of her runs is equal in length. If her total mileage for the week is miles, how long was each run?

Write the problem.

Write as improper fractions.

Divide.

Simplify and write as a mixed number.

Iona runs miles each day.

4312

612 43

1

66 and

4

5112 4

3

24

51

6

1

4

51

1

6

4

51

812

8

17

24

51

812

1. Find the value of .

2. Wildy had yards of ribbon. She purchased an additional yards of ribbon. How many total yards of ribbon does she have?

3. Ivan walked miles over 5 days. He walks the same amount each day. How far is his daily walk?

4. Find the value of .

43

21 24

313651

876

51

43 13

What is the process for multiplying two mixed numbers?