Multiplying Mixed Numbers
Some situations require us to multiply mixed numbers. For
instance, suppose that your regular hourly wage is and that you make timeandahalf for working
overtime. To find your overtime hourly wage, you need to multiply
by . The key here is to first rewrite each mixed number
as an improper fraction.
So you make per hour overtime.
To Multiply Mixed Numbers
 change each mixed number to its equivalent improper
fraction,
 follow the steps for multiplying fractions, and
 write the answer in simplest form.
EXAMPLE 1
Multiply by .
Solution
EXAMPLE 2
Multiply:
Solution
Note in this problem that, although there are several ways to
cancel, the answer always comes out the same.
EXAMPLE 3
A nurse gave a patient tablets of the medication atropine sulfate. If each
tablet contains grain (gr) of this medication, how much atropine
sulfate did the patient receive?
Solution
To find the total amount of atropine sulfate administered, we
need to multiply by .
Therefore the nurse gave the patient gr of atropine sulfate.
EXAMPLE 4
A lawn surrounding a garden is to be installed, as depicted in
the following drawing.
How many square yards of turf will we need to cover the lawn?
Solution
Let’s break this problem into three steps. First, we find
the area of the rectangle with dimensions yards and yards. Then, we find the area of the small rectangle
whose length and width are yards and 2 yards, respectively. Finally, we
subtract the area of the small rectangle from the area of the
large rectangle.
We will need sq yd of turf for the lawn.
