Multiply and divide

14
Think about it… What is 1/2 of … 12 100 120

Transcript of Multiply and divide

Page 1: Multiply and divide

Think about it… What is 1/2 of …

12100120

Page 2: Multiply and divide

What about ¼ of…

100

480

Page 3: Multiply and divide

What are we really doing?

What multiplication problem goes with this model?

Page 4: Multiply and divide

Put your answer in simplest form!

Remember!

To multiply fractions, first multiply the numerator, then

multiply the denominator.

Page 5: Multiply and divide

Mutliply the numerator.

Multiply the denomiator

Simplify.

1 3

2 4

Page 6: Multiply and divide

1

4__ • 2

5__

=

1 • 2

4 • 5

= 2

20__

= 1

10__

Multiply numerators. Multiply denominators.

The GCF of 2 and 20 is 2.

The answer is in simplest form.

Page 7: Multiply and divide

5

7__ 4

15__•

_____

=

=

Use the GCF to simplify the fractions before multiplying. The greatest common factor of 5 and 15 is 5.

4

21__

1 • 4

7 • 3

5

7__ •

4

15__

Multiply numerators. Multiply denominators.

The answer is in simplest form.

1

7__ •

4

3__

1

3

=

Simplify first- Another method

Page 8: Multiply and divide

4

9__ 6

10__• ______=

=

Multiply numerators. Multiply denominators.

24

90__

4 • 6

9 • 10

4

9__ •

6

10__

The GCF of 24 and 90 is 6.

The answer is in simplest form.=4

15__

Page 9: Multiply and divide

Multiply. Write each answer in simplest form.

1. 2.

Evaluate the expression x • for each value of

x. Write the answer in simplest form.

3. x = 4. x =

5. At a particular college of the students take a

math class. Of these students, take basic algebra.

What fraction of all students take basic algebra?

3

5__1

4__ •

5

7__3

10__ •

1

8__

4

5__ 1

8__

2

5__

1

4__

3

20__ 3

14__

1

10__ 1

64__

1

10__

Page 10: Multiply and divide

Reciprocals can help you divide by fractions. Two numbers are reciprocals if their product is 1.

Page 11: Multiply and divide

RECIPROCALIOUS!

Find the reciprocal.

19__

19__ • = 1 Think: of what number is 1?

19__1

9__

19__ • 9 = 1 of is 1.

19__ 9

1__

The reciprocal of is 9.19__

Page 12: Multiply and divide

÷ 710__

710__ ÷ = •

Rewrite as multiplication using the

reciprocal of , . 51__

Simplify before multiplying.

710__ 5

1__

7 • 510 • 1____ =

You can write the answer as a mixed number.

=

72__

15__

15__

15__

1

2

Multiply.

= 3 12__

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÷ 3 23__

23__ ÷ 3 = •

Rewrite as multiplication using the

reciprocal of 3, . 13__

Multiply by the reciprocal.

23

__ 13__

2 • 13 • 3____ =

The answer is in simplest form.

=

29__

Page 14: Multiply and divide

You TryComplete all 8 problems on

your notes

When you are done, raise your hand and then help others

around you