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Multiplication and Division of Fractions

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Multiplication and Division of Fractions 2.3 1. Multiplication of Fractions 2. Reciprocal 1. 3. Division of Fractions Definition of a Fraction 4. Applications of ... – PowerPoint PPT presentation

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Title: Multiplication and Division of Fractions


1
  • 2.3
  • Multiplication and Division of Fractions

1. Multiplication of Fractions
2. Reciprocal
3. Division of Fractions
4. Applications of Multiplication and Division of Fractions
  • 1.
  • Definition of a Fraction
  • Slide 1

2
  • 2.3
  • Multiplication and Division of fractions
  • 1. Multiplication of Fractions
  • In general, to multiply fractions multiply the
  • numerators and multiply the denominators
  • For example
  • Slide 2

3
  • Multiplying Fractions

To multiply fractions, write the product of the
numerators over the product of the denominators.
Then simplify the resulting fraction, if possible.
provided b and d are not equal to 0.
  • Slide 3

4
  • 1
  • Multiplying Fractions
  • Slide 4

5
  • 2
  • Multiplying and Simplifying Fractions

Multiply the fractions and simplify if possible.
c.
  • Slide 5

6
  • 3
  • Multiplying and Simplifying Fractions

d.
  • Slide 6

7
  • 4
  • You Try
  • Multiply and simplify if possible.
  • 2.

Slide 7
8
  • 5
  • You Try
  • Multiply and simplify if possible.
  • 3. 4.
  • Slide 8

9
  • 2.3
  • Multiplication and Division of Fractions
  • 2.
  • Reciprocal

Two numbers whose product is 1 are reciprocals of
each other.
For example
Because the product equals 1, we say that is
the reciprocal of and vice versa.
  • Slide 9

10
  • Finding the Reciprocal of a Fraction

To find the reciprocal of a nonzero fraction,
interchange the numerator and denominator of the
fraction. If a and b are nonzero numbers, then
the reciprocal of is This is because
1.
  • Slide 10

11
  • 6
  • Finding Reciprocals
  • Slide 11

12
  • 7
  • You Try
  • Find the reciprocal.
  • b.
    c.
  • d. e.
  • Slide 12

13
  • 2.3
  • Multiplication and Division of Fractions
  • 3.
  • Division of Fractions

In general, to divide two nonzero numbers we can
multiply the dividend by the reciprocal of the
divisor.
  • Slide 13

14
  • Dividing Fractions

To divide two fractions, multiply the dividend
(the first fraction) by the reciprocal of the
divisor (the second fraction).
  • Slide 14

15
  • 2.3
  • Multiplication and Division of Fractions
  • 4.
  • Division of Fractions

provided b, c, and d are not 0.
  • Slide 15

16
  • 8
  • Dividing Fractions
  • Slide 16

17
  • 9
  • Dividing Fractions
  • Slide 17

18
  • 10
  • You Try
  • Divide and simplify.
  • 1. 2.
  • Slide 18

19
  • 11
  • You Try
  • Divide and simplify. Write the quotient as a
    fraction.
  • 3. 4.

Slide 19
20
  • 2.3
  • Multiplication and Division of Fractions
  • 4.
  • Applications of Multiplication and Division of
    Fractions

Sometimes it is difficult to determine whether
multiplication or division is appropriate to
solve an application problem. Division is
generally used for a problem that requires you to
separate or split up a quantity into pieces.
Multiplication is generally used if it is
necessary to take a fractional part of a quantity.
  • Slide 20

21
  • 12
  • Using Division in an Application
  • Slide 21

22
  • 13
  • Using Multiplication in an Application
  • A new school will cost 20,000,000 to build, and
  • the state will pay of the cost. How much will
  • the state pay?
  • Slide 22

23
  • 14
  • You Try
  • A cookie recipe requires package of chocolate
    chips
  • for each batch of cookies. If a restaurant has
    20
  • packages of chocolate chips, how many batches of
  • cookies can it make?

Slide 23
24
  • 15
  • You Try
  • Jim has half a pizza left over from dinner. If he
    eats
  • of this for breakfast, what fractional part
    did he
  • eat for breakfast?
  • Slide 24

25
A review of the objectives you are responsible
for learning.
1. Multiplication of Fractions
2. Reciprocal
3. Division of Fractions
4. Applications of Multiplication and Division of Fractions
Slide 25
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