Rational Numbers & Equations

1. 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?