Dividing Fractions
To divide a fraction by another fraction, multiply the first fraction by the multiplicative inverse of the second fraction... that is, its reciprocal .
Example 1:
Find the quotient.
To divide by a fraction, multiply by its multiplicative inverse.
That is, multiply the first fraction by the reciprocal of the second fraction , .
Divide by the GCF , .
Simplify.
Dividing Mixed Numbers
To divide by a mixed number , first rewrite the mixed numbers as an improper fraction . Then divide the fractions.
Example 2:
Find .
First rewrite the mixed numbers as an improper fraction.
Now multiply by the multiplicative inverse of , .
Divide out the common factor.
Simplify.
Converting the improper fraction into a mixed number, the answer is .