Dividing Fractions
1. Turn the fraction you wish to divide by upside down (the inverse reciprocal).
2. Multiply the first fraction by the inverse reciprocal of the second.
3. Simplify the fraction.
Example 1
1 |
| 1 |
--- | ÷ | --- |
2 |
| 4 |
Step 1. Turn the fraction you wish to divide by upside down (the inverse reciprocal).
1 |
| 4 |
--- | => | --- |
4 |
| 1 |
Step 2. Multiply the first fraction by the inverse reciprocal of the second.
1 |
| 4 |
| 1 × 4 |
| 4 |
--- | × | --- | = | ------ | = | --- |
2 |
| 1 |
| 2 × 1 |
| 2 |
Step 3. Simplify the fraction
4 |
| 2 |
--- | = | |
2 |
|
Example 2
1 |
| 1 |
--- | ÷ | --- |
8 |
| 4 |
Step 1. Turn the fraction you wish to divide by upside down (the inverse reciprocal).
1 |
| 4 |
--- | => | --- |
4 |
| 1 |
Step 2. Multiply the first fraction by the inverse reciprocal of the second.
1 |
| 4 |
| 1 × 4 |
| 4 |
--- | × | --- | = | ----- | = | --- |
8 |
| 1 |
| 8 × 1 |
| 8 |
Step 3. Simplify the fraction
4 |
| 1 |
--- | = | --- |
8 |
| 2 |
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