Rational Numbers &amp; Equations

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# Rational Numbers &amp; Equations - PowerPoint PPT Presentation

Lesson 5. Rational Numbers &amp; 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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Presentation Transcript

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
• Write each mixed number as an improper fraction.
• Write the answer in simplest form. Convert the answer to a mixed number if needed.
Example 1

Find the value of .

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

same denominator.

• Write as a mixed number.
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

Find the value of .

• Write as an improper fraction.
• Multiply.
• Simplify.
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
• 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

What is the process for multiplying two mixed numbers?