Essential Question: Why is dividing the same as multiplying by the reciprocal of that number?

9-x: Handling Fractions

Throughout this section, we will be focusing on the four operations with fractions.

YOU ARE NOT TO USE A CALCULATORto simplify these expressions It’ll be important when we start dealing

with variables (which can’t be solved with a calculator)

9-x: Handling Fractions

Multiplying Fractions To multiply fractions, multiply the

numerators together and multiply the denominators together.

You can simplify at any point once you have it set as multiplication

Examples: 3 4 12

7 5 35

5 2 5

6 3 9

9-x: Handling Fractions

YOUR TURN Find each product. Simplify if possible.

7 5

8 9

5 21

15 25

35

72

7

25

9-x: Handling Fractions

Dividing Fractions To divide fractions, change the division

into multiplication, and flip the fraction after the division sign.

Example:

YOUR TURN

2 2 2 5

9 5 9 2 9

5

5 3

8 4 45 5

8 63

9-x: Handling Fractions

Adding/Subtracting Fractions Before you can add or subtract fractions,

the fractions must have a common denominator.

After they have a common denominator, simply add or subtract the numerator. The easiest way to get a common

denominator is to multiply each term by the opposite denominator

Example:

1 5

8 6

8

1

8 6

6

6

5 8

6 40

48 48 46 23

48 24

9-x: Handling Fractions

YOUR TURN Find each sum or difference. Simplify if

possible.

7 3

8 4

3 1

4 3

1

8

5

12

9-x: Handling Functions

Assignment Worksheet to be distributed