Practice Multiplying and Dividing Rational Expressions in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Multiplying rational expressions by multiplying numerators together and denominators together (after factoring and canceling). Dividing by multiplying by the reciprocal of the divisor.
It works exactly like multiplying and dividing numeric fractions. To multiply: factor everything, cancel common factors across any numerator and any denominator, then multiply across. To divide: flip the second fraction and multiply. .
Showing a random 20 of 50 problems.
Example 1
easyDivide , .
Example 2
easyState the reciprocal of (no restrictions needed).
Example 3
mediumMultiply .
Example 4
easyMultiply , .
Example 5
mediumDivide .
Example 6
easyMultiply , .
Example 7
mediumMultiply .
Example 8
easyMultiply , .
Example 9
mediumDivide .
Example 10
easyMultiply , .
Example 11
hardMultiply .
Example 12
hardSimplify , state restrictions.
Example 13
easyMultiply , .
Example 14
easyWhat is the restriction for ?
Example 15
easyMultiply , .
Example 16
mediumMultiply .
Example 17
challengeDivide , state restrictions.
Example 18
mediumMultiply , state restrictions.
Example 19
mediumDivide .
Example 20
mediumState all restrictions for the product .