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PPT – Multiplication and Division of Fractions PowerPoint presentation | free to download - id: 56f8ae-MTM2Z

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- 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

- 2.3

- 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

- 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

- 1

- Multiplying Fractions

- Slide 4

- 2

- Multiplying and Simplifying Fractions

Multiply the fractions and simplify if possible.

c.

- Slide 5

- 3

- Multiplying and Simplifying Fractions

d.

- Slide 6

- 4

- You Try

- Multiply and simplify if possible.

- 2.

Slide 7

- 5

- You Try

- Multiply and simplify if possible.

- 3. 4.

- Slide 8

- 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

- 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

- 6

- Finding Reciprocals

- Slide 11

- 7

- You Try

- Find the reciprocal.

- b.

c. - d. e.

- Slide 12

- 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

- Dividing Fractions

To divide two fractions, multiply the dividend

(the first fraction) by the reciprocal of the

divisor (the second fraction).

- Slide 14

- 2.3

- Multiplication and Division of Fractions

- 4.

- Division of Fractions

provided b, c, and d are not 0.

- Slide 15

- 8

- Dividing Fractions

- Slide 16

- 9

- Dividing Fractions

- Slide 17

- 10

- You Try

- Divide and simplify.

- 1. 2.

- Slide 18

- 11

- You Try

- Divide and simplify. Write the quotient as a

fraction.

- 3. 4.

Slide 19

- 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

- 12

- Using Division in an Application

- Slide 21

- 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

- 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

- 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

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