Division: Mixed Numbers
A mixed number is a number expressed as the sum of a whole number and a fraction , such as .
When you divide a number by a mixed number, first rewrite the mixed number as an improper fractions . Then multiply the number by the reciprocal of the improper fraction.
Example 1:
Find the quotient. Write in simplest form.
First, write the mixed numbers as improper fractions.
So, the expression becomes
Multiply by the reciprocal of , which is .
Multiply the numerators and multiply the denominators.
Write the improper fraction as a mixed number.
So,
Example 2:
Find the quotient. Write in simplest form.
First, write the mixed numbers as improper fractions.
So, the expression becomes
Multiply by the reciprocal of , which is .
The GCF of and is . So, to simplify the fractions, divide and by .
The GCF of and is . So, to simplify the fractions, divide and by .
Multiply the numerators and multiply the denominators.
Write the improper fraction as a mixed number.
So,
.