Rational Numbers & Equations

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Presentation transcript:

Rational Numbers & Equations Lesson 4 Rational Numbers & Equations Multiplying and Dividing Fractions

Warm-Up

Multiplying and Dividing Fractions Target: Multiply and divide fractions.

Vocabulary Reciprocal: Two numbers are reciprocals if their product is 1. To find a reciprocal, “flip” the fraction so the numerator becomes the denominator and the denominator becomes the numerator.

Multiplying Fractions For any numbers a, b, c and d:

For any numbers a, b, c and d : Dividing Fractions For any numbers a, b, c and d :

Example 1 Find the value of using models. Shade vertically. Shade horizontally. The answer is the number of regions that are shaded twice. Put the answer in simplest form.

Example 2 Find the value of . Multiply. Simplify.

Example 3 Find the value of . Divide. Simplify.

Example 4 Find the value of . Divide. Simplify. Change to a mixed number.

Exit Problems Find each product or quotient. Write answers in simplest form.

Communication Prompt Fractions can be simplified before or after multiplying. Which method do you prefer and why?