MULTIPLYING & DIVIDING FRACTIONS

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Presentation transcript:

MULTIPLYING & DIVIDING FRACTIONS TABLE OF CONTENTS PAGE 11 MULTIPLYING & DIVIDING FRACTIONS

TRUE OR FALSE 1.) Common denominators are needed when multiplying and dividing fractions? 2.) Always change mixed numbers to improper fractions when multiplying or dividing fractions? 3.) When multiplying two fractions you must flip the second fraction to the reciprocal.

MULTIPLYING AND DIVIDING FRACTIONS EQ: What are the steps for multiplying and dividing fractions? How are the steps similar and different from adding and subtracting fractions?

MULTIPLYING AND DIVIDING FRACTIONS

BOTH MUTIPLYING AND DIVIDING Common denominators are NOT needed. 2 3 x 4 5 = 𝟖 𝟏𝟓 2. Always change mixed numbers to improper fractions. 1 2 4 x 1 3 = 6 4 x 1 3 = 𝟔 𝟏𝟐

MULTIPLYING FRACTIONS 3. TO MULTIPLY: Multiply numerator times numerator, denominator times denominator. Reduce answer to a mixed number in lowest terms. (TOP TIMES TOP) (BOTTOM TIMES BOTTOM) 6 4 x 1 3 = 𝟔 𝟏𝟐 ÷ 6 𝟏 𝟐

PRACTICE 1. 2 4 x 1 3 = 2. 1 3 7 x 1 2 = 3. 4 x 4 5 =

When you change or flip a fraction. KEY WORD RECIPROCAL: When you change or flip a fraction. 2 4 4 2 3 8 8 3

Reciprocal = One

FLIP THE FRACTION 2 3 2 2 3 3

2 3 ÷ 3 5 = 2 3 x 5 3 = 𝟏𝟎 𝟗 1 𝟏 𝟗 DIVIDING FRACTIONS TO DIVIDE: Change the divide sign to a multiplication sign, then flip the second fraction to the reciprocal and multiply top times top and bottom times bottom. 2 3 ÷ 3 5 = 2 3 x 5 3 = 𝟏𝟎 𝟗 1 𝟏 𝟗

PRACTICE 2 4 ÷ 1 3 = 2 2 3 ÷ 4 3 = 2 2 3 ÷ 3 =

ANSWER ESSENTIAL QUESTION IN YOUR OWN WORDS SUMMARY ANSWER ESSENTIAL QUESTION IN YOUR OWN WORDS