Lesson 5

Operations with Mixed Numbers

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

1.

4 5  5 6 2.

4 9  1 3 3.

1 3  7 10 4.

2 15  1 5

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.

2 4  1 8  Change to improper fractions.

2 1 4  9 4 and 1 7 8  15 8    Write equivalent fractions with the same denominator.

Add numerators.

Write as a mixed number. 9 4  18 8 18 8  15 8  33 8 33  4 1 8 8

Madison had a rope that was 8 feet long. She cut off a piece for a 5 4  Write the problem.

8  5 3 4     Make improper fractions.

8  8 1 and 5 3 4 Write with the same denominator.

8 1  32 4  23 4 Subtract numerators.

32  23 4 4 Write as a mixed number.

9   9 4 2 1 4 4 feet of rope left

  

6 10     Write as an improper fraction.

2 1 6  13 6 Multiply.

Simplify.

13  6 3   10  39 60 39 60  13 20

  

6 10  13 20

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?

4  Write the problem.

12 3 4  6  Write as improper fractions.

 Divide.

51  4 6 1  51  4 1 6  51 24 12 3 4  51 and 4 6  6 1  Simplify and write as a mixed number.

51 24  17 8  2 1 8  Iona runs miles each day.

8

1.

4 2  2 4 2.

Wildy had yards of ribbon. She purchased an 6 additional yards of ribbon. How many total yards 3 of ribbon does she have?

3.

Ivan walked miles over 5 days. He walks the 8 same amount each day. How far is his daily walk?

4.

  

4 1 5

What is the process for multiplying two mixed numbers?