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Lesson 5. Rational Numbers & Equations. Operations with Mixed Numbers. Warm-Up. Find the value of each expression. Write each answer in simplest form. Operations With Mixed Numbers. Target: Add, subtract, multiply or divide mixed numbers. Operations with Mixed Numbers.

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rational numbers equations

Lesson 5

Rational Numbers & Equations

Operations with Mixed Numbers

warm up
Warm-Up

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

operations with mixed numbers

Operations With Mixed Numbers

Target:

Add, subtract, multiply or divide mixed numbers.

operations with mixed numbers1
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.
example 1
Example 1

Find the value of .

  • Change to improper fractions.
  • Write equivalent fractions with the

same denominator.

  • Add numerators.
  • Write as a mixed number.
example 2
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

example 3
Example 3

Find the value of .

  • Write as an improper fraction.
  • Multiply.
  • Simplify.
example 4
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.
exit problems
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 .
communication prompt
Communication Prompt

What is the process for multiplying two mixed numbers?