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Recall the definition of a mixed number.
See solution.
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.
Now let's think of a real-life problem.
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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. |
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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.
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.
Now we simplify the expression!
Following similar steps, we can also rewrite 3 14 as an improper fraction.
Let's simplify the fraction.
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!
Multiply fractions
Multiply
Write fraction as a mixed number
The area of the bottom of the pool that Tyron wants to paint is 18 512 square meters.