__Objectives:__

- Convert a mixed number into an improper fraction, and vice versa.
- Determine the quotient of two fractions (where the fractions can be negative).
- Reduce or simplify a fraction to its lowest terms.

In the previous lesson, you learned how to multiply two fractions including negative fractions. You will see that we can change any division problem into a multiplication problem by making two changes. The 2 changes are...

(1) - Take the reciprocal of the

Reciprocal means to "flip" the fraction so that the numerator becomes the denominator and the denominator becomes the numerator). Let's look at 3 examples...

(1) - Take the reciprocal of the

__second__fraction (the second fraction is the divisor)Reciprocal means to "flip" the fraction so that the numerator becomes the denominator and the denominator becomes the numerator). Let's look at 3 examples...

(2) Change the division sign into a multiplication sign.

After you make these changes, you can multiply the fractions as you have previously learned!

After you make these changes, you can multiply the fractions as you have previously learned!

Before we begin dividing fractions, do you remember the division rules for integers? If not, let's refresh our minds:

__Division Rules__

These rules also apply when we are dividing fractions. Thus, these rules will come in handy for the next

4 examples. Let's take a look below!

4 examples. Let's take a look below!

__Example #1__

The Quotient of Two Positive Fractions

__Your Turn #1__

Click HERE to check your answer.

__Example #2__

The Quotient of a Negative Fraction Divided by a Positive Fraction

__Your Turn #2__

Click HERE to check your answer.

__Example #3__

The Quotient of a Positive Fraction Divided by a Negative Fraction

__Your Turn #3__

Click HERE to check your answer.

__Example #4__

The Quotient of Two Negative Fractions

__Your Turn #4__

Click HERE to check your answer.

## Quiz

You will take the quiz

CLICK HERE FOR QUIZ

__you have taken notes.__**after**CLICK HERE FOR QUIZ

(C) 2017 MATH IN DEMAND