Transcript Slide 1
Multiplying Fractions &
Mixed Numbers
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Objective
• Multiplying mixed numbers
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Prerequisite Skill
•
a.
b.
c.
d.
e.
Convert the mixed fraction into improper
fraction
3 1/6
2 2/3
2½
9½
2 2/5
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Multiply Mixed Numbers
• To multiply mixed numbers, write the
mixed numbers as improper fractions and
then multiply as with fractions.
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Multiply a Fraction and a Mixed Number
Example. 1
• Find ¼ x 3 ¾
• ¼ x 4 ¾ = ¼ x 19/4 Write 4 ¾ as 19/4
= 1 x 19
4x4
=
19 = 1 3/16 Simplify
16
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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
3x7
= 46 = 2 4/21
21
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Now Your Turn
•
1.
2.
3.
4.
5.
Multiply. Write in simplest form.
½ x 2 1/3
2/3 x 1 1/3
3/5 x 2 ¼
4/11 x 2 ¾
¾x3¼
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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 Write mixed numbers as
2 5 improper fractions
7 x 6 3 Multiply the numerator
2 x 5 and denominator
1
=
21
5
=
41
5
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Example – 2
• Find 2 ½ x 2 ¾
2½x2¾
=
=
=
5 x 11
2
4
5 x 11
2x4
55 = 6 7
8
8
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Now Your Turn
Simplify
1. 2 ¼ x 1 1/9
2. 2 8/13 x 3 ¼
3. 3 2/11 x 5 2/15
4. 2 3/7 x 4 2/3
5. 1 4/5 x 1 ½
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Practice
Multiply:
1. 9/10 x 7 2/3
2. 10 2/3 x 8 ¼
3. 2/3 x 2 ½
4. 1 2/5 x 1 ¾
5. 3/8 x 3 ¾
6. 3/5 x 1 ½
7. 4 4/5 x 2 7/10
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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.
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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
1. 4 1/7 x 2 ¼
2. 3 ½ x 1 1/7
3. 3 ¼ x 4 1/6
4. ¼ x 6 ¼
5. 1 3/5 x 2/3
6. 3 ¾ x 2/5
7. 4 2/17 x 1 2/5
8. 1 2/3 x 2 2/33
9. 15 2/3 x 3 1/6
10. 8/9 x 1 3/5
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Great Job!!
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