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Chapter 6 Lesson 4 Multiplying Fractions and Mixed Numbers
Objectives: Multiply fractions and mixed numbers
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Recall 4 = How do you change a mixed number to an improper fraction?
Multiply the whole number by the denominator add the product to the numerator Put answer over the same denominator 31 7 3 7 4 =
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Lets try a few! Change each mixed number to an improper fraction.
3 4 27 4 6 18 7 4 7 2 26 5 1 5 5
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Three steps for the day. Multiply fractions
Simplifying before multiplying fractions Multiplying mixed numbers
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1. Multiplying fractions
1 1 2 3 1 6 x = 2 3 7 5 6 35 x =
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1. Multiplying Fractions
Multiply the numerators Multiply the denominators Simplify if necessary
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Lets try some more! x = = x = x 4 = = 2 3 10 3 1 5 2 3 12 1 4 1 3 3 4
3 1 5 2 x = 3 12 1 4 1 3 3 4 = x = 2 3 8 3 2 3 x 4 = = 2
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You try some on your own! Page 578 Lesson 6-4 numbers 1-4
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Simplify Before Multiplying
1 3 28 2 3 7 8 x = 4 1 1 7 1 3 3 7 = x 1 1 9 8 1 18 x = 2
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2. Simplifying Before Multiplying
Cross cancel by finding the GCF of the diagonals Multiply numerators Multiply the denominators If needed - simplify
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2. Simplifying Before Multiplying
1 3 28 2 3 7 8 x = 4 1 1 7 1 3 3 7 x = 1 1 4 1 9 8 1 18 x = 2
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( ) ( ) ( ) ( ) ( ) ( ) Here are some more! = = = 5 3 6 5 1 2 1 5 5 6
5 3 6 5 1 2 = ( ) ( ) 1 5 5 6 1 6 = ( ) ( ) 1 2 =
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( ) ( ) ( ) ( ) ( ) ( ) Little harder!!!!! 3 = = 9 2 3 6 7 55 35 2 9 1
2 3 3 = ( ) ( ) ( ) 1 2 1 5 = 9 3 2 1
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Try some on your own! Page 578 Lesson 6-4 numbers 9 – 12 all
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3. Multiply Mixed numbers
1 2 2 5 x 4 11 11 5 1 5 1 2 22 5 x = = 2 1
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3. Multiply Mixed numbers
4 9 1 4 8 x 19 19 9 1 9 1 4 76 9 x = = 2 1
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3. Multiplying Mixed Numbers
Convert all mixed numbers to improper fractions Cross cancel Multiply numerators Multiply denominators Change result back to a mixed number
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Lets try some! 1 3 3 X 5 = 16 2 5 1 2 7 8 1 X 2 = 4 3 4 1 3 5 X 3 = 20
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Try some on your own! Page 578 Lesson 6-4 numbers
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Lets try some with chalkboards!
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State the steps to multiplying mixed numbers.
Lets Review! State the steps to multiplying mixed numbers.
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Homework Homework Sheet the first column
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