1. Warm Up Problem
There are 300 students in the middle school. 23% brought fruit as a snack. Find the number of students who brought fruit.

2. Multiply Mixed Numbers
Lesson 4-4

3. Objectives I can convert a mixed number to an improper fraction.
I can multiply mixed numbers.

4. Mixed # to Improper Fraction
Step 1: Multiply the denominator and the whole number. Step 2: Add the numerator. Step 3: Write the fraction with the new numerator. The denominator stays the same. Example: x 2 = =

5. Example 1
Find 1 3 x Write in simplest form. Write the mixed number as an improper fraction = 7 4 Multiply across: 1 3 x 7 4 = 7 12

6. Example 2
Find x Write in simplest form. Write the mixed number as an improper fraction = 11 2 Multiply across: 11 2 x 1 3 = 11 6 Simplify: 11 6 = 1 5 6

7. Got It?
1) x 2 1 2
2) x 3 1 3

8. Example 3 Find 1 7 8 x 3 1 3 . Write in simplest form.
Write BOTH mixed numbers as improper fractions.
= = 10 3
Multiply (simplify first):
x = 25 4
Simplify:
25 4 =

9. Got It?
3) x 2 4 7

10. Example 4
The Hoover Dam contains million cubic yards of concrete. The Grand Coulee Dam, in Washington state, contains times as much concrete. How much concrete does it contain? Find x = = 8 3 Multiply: x = 12 1 or 12 There are 12 million cubic yards of concrete in the Grand Coulee Dam.

11. Got It?
Mr. Wilkins is laying bricks to make a rectangular patio. The area he is covering with bricks is feet by feet. What is the area of the patio?

12. What if…
…you multiply a fraction by a fraction? It is a fraction (less than 1) …you multiply a fraction by 1? It is that fraction (anything multiplied by 1 is just that number) …you multiply a fraction by a mixed number? It equals a mixed number (greater than 1)