Glencoe Math: Course 1, Volume 1
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Glencoe Math: Course 1, Volume 1 View details
4. Multiply Mixed Numbers
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Exercise 26 Page 287

Recall the definition of a mixed number.

See solution.

Practice makes perfect
We are asked to give some real-life examples of mixed numbers and write our own problem in which we would multiply mixed numbers. Let's do it! Here are some examples of mixed numbers in the media.
  • The average American drinks 3 19 cups of coffee every day.
  • The heaviest watermelon, weighing 350 12 pounds, was grown in 2013 in Tennessee.
  • The average person can run 1 27 miles without taking a break.

Now let's think of a real-life problem.

Tyron is painting the bottom of his pool. The pool is shaped like a rectangle. It is 5 23 meters long and 3 14 meters wide. Find the area that he is going to paint.

Extra

Solving the problem

Let's solve the problem we wrote!

Tyron is painting the bottom of his pool. The pool is shaped like a rectangle. It is 5 23 meters long and 3 14 meters wide. Find the area that he is going to paint.

The area of the pool is its length multiplied by its width. In this case, it is the product of 5 23 and 3 14. 5 23 * 3 14 We will follow these steps to multiply the mixed numbers.

  1. Write each number as an improper fraction.
  2. Reduce the fractions using the greatest common factor (GCF), if possible.
  3. Multiply the numerators and the denominators of the fractions separately.
First, we are rewrite the numbers as improper fractions. Here is an applet showing the first steps to rewriting 5 23 as an improper fraction.
mixed number as fraction
Now we simplify the expression!
5* 3+2/3
15+2/3
17/3
Following similar steps, we can also rewrite 3 14 as an improper fraction.
mixed number as fraction
Let's simplify the fraction.
3* 4+1/4
12+1/4
13/4
Now we find our product using the improper factions. 5 23 * 3 14 ⇔ 17/3 * 13/4 We completed Step 1. Notice that there are no common factors between number 17 and 4 or between 3 and 13. This means we can move directly to Step 3. Let's multiply the fractions!
17/3 * 13/4
17 * 13/3 * 4
221/12
18 512
The area of the bottom of the pool that Tyron wants to paint is 18 512 square meters.