Fundamentals of Math - old

Fundamentals of Mathematics

Example 2.2.2

4 5

15 8

4 5 ÷ 5

15 ÷ 5 8

4 1

3 8

4 ÷ 4 1

3 8 ÷ 4

1 1

3 2

×

⟹

×

⟹

×

⟹

×

⟹

×

Now that you’ve simplified the expression, multiply!

1 1

3 2

1 × 3 1 × 2

3 2

×

=

=

Therefore,

4 5

15 8

3 2

1 2

×

=

or 1

Dividing Fractions Dividing fractions is very similar to multiplying fractions - in fact, the only difference is a single step added to the beginning of the procedure. To divide fractions, start by following the "keep-change- flip" model. Keep the first fraction as is, change the division sign to multiplication, and then take the reciprocal (a.k.a. flip) the second fraction. Once your fraction has been re-written into a multiplication statement, go ahead and multiply as you were instructed to earlier and again simplify your final results.

Example 2.2.3

*If working with a mixed number always convert to an improper fraction first.

2 3

1 2

11 3

3 2

3

÷ 1

=

÷

Now, “keep – change – flip”

11 3

3 2

÷

⇓

⇓

⇓

11 3

×

2 3

Then multiply and simplify!

11 3

2 3

11 × 2 3 × 3

22 9

×

=

=

Therefore,

2 3

1 2

22 9

3

÷ 1

=

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