## Dividing Fractions

### Divide Fractions: Learn

To divide a fraction:

• Invert the second fraction (that is, turn over or flip it)
• Multiply just like any other fractions
• Simplify the result, but do not convert to a mixed number unless the instructions say to do so

Inverting a fraction is also known as using its reciprocal.

Example: Divide 2/9 by 3/12

2
9
÷
3
12
=
2
9
*
12
3
=
2 * 12
9 * 3
=
24
27
=
8
9

Alternatively, you can cancel factors just before multiplying.

Example: Divide 2/9 by 3/12, but simplify the problem before multiplying, by canceling a factor of 3 out of the 9 and 12.

2
9
÷
3
12
=
2
3 9
*
12 4
3
=
2 * 4
3 * 3
=
8
9

### Divide Fractions: Practice

#### What is the quotient?

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State the answer as a simplified fraction, and not a mixed number.

 ÷ =

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