5.3 multiplying fractions updated
TRANSCRIPT
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• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.
1. 13 2/9 + 133 1/3 =
2. Use words to write this number. 0.0616
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• Before the bell rings...– Have your assignment out on your desk.– Have your covered textbook with you.
1. 13 2/9 + 133 1/3 =
2. Use words to write this number. 0.0616
146 5/9
Six hundred sixteen ten thousandths
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Essential Questions
1. What is the value of studying fractions?
2. What is the relationship between good number sense and working with fractions?
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Fractions
Multiplying
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Rule for x
1. Change the fractions to improper fractions
2. Divide out common factors
3. Multiply the numerator
4. Multiply the denominator
5. Simplify fraction into lowest terms
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Try these examples
6
5
8
3
2
5
8
1
=
= =16
5
5
11
1
2 =
5
22
5
122 =
5
24
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Try these examples
4
11
7
34
4
5
7
31= =
28
155=
28
155
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EXAMPLE 1 Multiplying Fractions
a. – 25
– ( )23 = – 2 (– 2)
5 3Use rule for multiplying fractions.
=415
Evaluate numerator and denominator.
b. 310
– 56 = – 3 5
10 6Use rule for multiplying fractions.
= – 3 510 6
2
–1 1
2
Divide out common factors.
14
–= Multiply.
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GUIDED PRACTICE for Example 1
Find the product. Simplify if possible.
1. 512
– 910 = – 5 9
12 10Use rule for multiplying fractions.
= – 5 912 10
2
–1 3
4
Divide out common factors.
38
–= Multiply.
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SOLUTION
Write formula for area of a rectangle.
= 5 12
3 34
Substitute values.
=112
154 Write as improper fractions.
=11 152 4
Use rule for multiplying fractions.
EXAMPLE 2 Multiplying Mixed Numbers
PostcardsA postcard is inches long and 3 inches wide. Find the area of the postcard.
5 12
34
=1658
, or 20 58
Multiply.
Area length width=
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EXAMPLE 2 Multiplying Mixed Numbers
The area of the postcard is square inches.
ANSWER
20 58
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GUIDED PRACTICE for Example 2 and 3
Find the product. Simplify if possible.
5. 1 25 3 1
2 =75
72 Write as improper fractions.
=7 75 2
Use rule for multiplying fractions.
=4910
, or 4 910
Multiply.
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GUIDED PRACTICE for Example 2 and 3
Find the product. Simplify if possible.
(–1 ) 6. 5 12
56 =
112
–116 Write as improper fractions.
=11 – 112 6
Use rule for multiplying fractions.
=–121
12, or –10 1
12Multiply.
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GUIDED PRACTICE for Example 2 and 3
Find the product. Simplify if possible.
8. (– )2 13
34
– Write as improper fractions.
=– 7 – 3
3 4Use rule for multiplying fractions.
=74
, or 1 34
Multiply.
=–34
–73
( )
–1
1
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Homework
• Page 245 #1-13, 19-20, 33-35
• Area– Rectangle = bh or lw– Triangle= ½ bh