Multiplication: Mixed Numbers
A mixed number is a number expressed as the sum of a whole number and a fraction , such as .
We should write mixed numbers as improper fractions before multiplying. If the fractions have common factors in the numerators and denominators, we can simplify before we multiply.
Example 1:
Find the product. Write in simplest form.
First, write the mixed numbers as improper fractions.
So, the expression becomes
Simplify.
Write the improper fraction as a mixed number.
So,
.
Example 2:
Find the product.
First, write the mixed numbers as improper fractions.
So, the expression becomes
The GCF of and is .
So, to simplify the fractions, divide and by .
Multiply the numerators the denominators separately.
Write the improper fraction as a mixed number.
So,
.