 # Dividing Fractions SPI 6.2.1 Solve problems involving multiplication and division of fractions. SPI 6.2.4 Solve multi-step arithmetic problems using fractions,

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Dividing Fractions SPI Solve problems involving multiplication and division of fractions. SPI Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals. Brainpop over x and dividing fractions

Multiply. Write each answer in simplest form.
Warm Up Multiply. Write each answer in simplest form. 3) • 3 1 2 __

Dividing Number What does this mean? 20 ÷ 5 =

Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.

Find the reciprocal. 1 9 __ 1 9 __ 1 9 __ • = 1
• = 1 Think: of what number is 1? 1 9 __ 1 9 __ • 9 = 1 1 9 __ 9 1 __ of is 1. 1 9 __ The reciprocal of is 9.

Find the reciprocal. 2 3 __ 2 3 __ • = 1 2 3 __
• = 1 2 3 __ Think: of what number is 1? 2 3 __ 3 2 __ 6 __ 2 3 __ 3 2 __ • = = 1 of is 1. 2 3 __ 3 2 __ The reciprocal of is .

So what is the process? KCF K – KEEP first fraction the same
C – CHANGE division sign to multiplication F – FLIP the second fraction over (find the reciprocal) *if any mixed # or whole #’s make them improper fractions before you begin

What does it mean to divide 2 fractions???
Dividing Fractions What does it mean to divide 2 fractions???

Divide. Write each answer in simplest form.
8 7 __ ÷ 7 8 7 __ Rewrite as multiplication using the reciprocal of 7, 1 7 __ 8 7 __ 1 7 __ ÷ 7 = • 8 • 1 7 • 7 ____ = Multiply by the reciprocal. 8 49 __ = The answer is in simplest form.

2 ÷ 1 3 4 __ 1 12 __ Write the mixed numbers as
2 ÷ 1 Write the mixed numbers as improper fractions = and = 3 4 __ 1 12 __ 11 4 __ 13 12 __ 3 4 __ 11 4 __ 2 ÷ = ÷ 1 12 __ 13 12 __ 11 4 __ 12 13 __ = Rewrite as multiplication. 3 11 • 12 4 • 13 ______ = Simplify before multiplying. 1 33 13 __ = Multiply. 7 13 __ You can write the answer as a mixed number. = 2

More examples Dividing Fractions for white boards

Divide. Write each answer in simplest form. 3. ÷ 20 4. 3 ÷ 2
Find the reciprocal. Divide. Write each answer in simplest form. ÷ ÷ 2 5. Rhonda put 2 pounds of pecans into a -pound bag. How many bags did Rhonda fill? 1 11 __ 11 1 __ 8 13 __ 13 8 __ 1 2 __ 1 2 __ 7 5 __ 2 5 __ 4 7 __ 1 35 __ , or 1 3 4 __ 1 4 __ 11 bags

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