1. Multiplying Fractions & Mixed Numbers
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Objective
Multiplying mixed numbers
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Prerequisite Skill
Convert the mixed fraction into improper fraction
3 1/ /6
2 2/3 - 8/3
2 ½ - 5/2
9 ½ - 19/2
2 2/5 - 12/5
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4. Multiply Mixed Numbers
To multiply mixed numbers, write the mixed numbers as improper fractions and then multiply as with fractions.
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5. Multiply a Fraction and a Mixed Number
Example. 1
Find ¼ x 3 ¾
¼ x 4 ¾ = ¼ x 19/4
= 1 x 19
4 x 4
= 19 = 1 3/16 16
Write 4 ¾ as 19/4
Simplify
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Another Example
Find 1/3 x 6 4/7
1/3 x 6 4/7 = 1/3 x 46/7
= 1 x 46
3 x 7
= 46 = 2 4/21 21
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Now Your Turn
Multiply. Write in simplest form.
½ x 2 1/3 = 7/6 = 1 1/6
2/3 x 1 1/3 = 8/9
3/5 x 2 ¼ = 27/20 = 1 7/20
4/11 x 2 ¾ = 4/3 = 1 1/3
¾ x 3 ¼ = 39/16 = 2 5/16
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8. MULTIPLYING MIXED NUMBERS
To multiply mixed numbers, convert the mixed numbers into improper fractions and multiply the numerator and denominator.
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Example – 1
Find 3 ½ x 1 1/5
3 ½ x 1 1/5 = 7 x 6
= 7 x 6
2 x 5
= 21 = 4 1
Write mixed numbers as improper fractions 3
Multiply the numerator and denominator 1
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Example – 2
Find 2 ½ x 2 ¾
2 ½ x 2 ¾ = 5 x 11
= 5 x 11
2 x 4
= 55 = 6 7
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Now Your Turn
Simplify
2 ¼ x 1 1/9 = 2 ½
2 8/13 x 3 ¼ = 8 ½
3 2/11 x 5 2/15= 16 1/3
2 3/7 x 4 2/3 = 11 1/3
1 4/5 x 1 ½ = 20 7/10
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Practice
Multiply:
9/10 x 7 2/3 = 6 9/10
10 2/3 x 8 ¼ = 88
2/3 x 2 ½ = 5/3 = 1 2/3
1 2/5 x 1 ¾ = 49/20 = 2 9/20
3/8 x 3 ¾ = 45/32 = 1 13/32
3/5 x 1 ½ = 9/10
4 4/5 x 2 7/10 = 12 24/25
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Word Problems
The length of a rectangle is 3 4/5 feet long and breadth is 2 ¾ feet wide. Find the area of the rectangle?
Area = length x breadth
= 3 4/5 x 2 ¾
= 1 9/20 ft 2
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Let’s try this one
Find the area of the parallelogram if the formula for finding the area = breadth x height ; breadth = 5 3/5 m; height = 8 4/5
Area = 5 3/5 x 8 4/5
= 49 7/25 m2
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Review
To multiply fractions and mixed numbers, convert the mixed number into improper fraction and multiply.
To multiply the mixed fractions, convert the mixed numbers into improper fractions and multiply the numerators and denominators. Then simplify the fractions.
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Assessment
Simplify
4 1/7 x 2 ¼ = 9 9/28
3 ½ x 1 1/7 = 4
3 ¼ x 4 1/6 = 13 13/24
¼ x 6 ¼ = 1 9/16
1 3/5 x 2/3 = 1 1/15
3 ¾ x 2/5 = 3 ½
4 2/17 x 1 2/5 = 5 13/17
1 2/3 x 2 2/33 = 3 43/99
15 2/3 x 3 1/6 = 49 11/18
8/9 x 1 3/5 = 1 19/45
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Great Job!!
Thank You
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