1. Rational Numbers & Equations
Lesson 5
Rational Numbers & Equations
Operations with Mixed Numbers

2. Warm-Up
Find the value of each expression. Write each answer in simplest form.

3. Operations With Mixed Numbers
Target:
Add, subtract, multiply or divide mixed numbers.

4. Operations with Mixed Numbers
Write each mixed number as an improper fraction.
Follow the procedures for adding, subtracting, multiplying or dividing fractions.
Write the answer in simplest form. Convert the answer to a mixed number if needed.

7. Example 1 Find the value of . Change to improper fractions.
Write equivalent fractions with the
same denominator.
Add numerators.
Write as a mixed number.

8. Example 2
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.
feet of rope left

9. Example 3 Find the value of . Write as an improper fraction. Multiply.
Simplify.

10. Example 4
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.

11. Exit Problems Find the value of .
Wildy had yards of ribbon. She purchased an additional yards of ribbon. How many total yards of ribbon does she have?
Ivan walked miles over 5 days. He walks the same amount each day. How far is his daily walk?
Find the value of

12. Communication Prompt
What is the process for multiplying two mixed numbers?