1. Warm Up Problem
Jacob made 12 out of 40 shots during the championship game. What percent of his shots did he make?

2. Multiplying Fractions and Whole Numbers
Lesson 4-2

3. Objectives I can multiply fractions and whole numbers.
I can explain the commutative property of multiplication.

4. Vocabulary
Commutative property – operations that can be performed in any order and have the same result
Example: multiplication, addition
5 + 6 = = 11
5 x 6 = x 5 = 30
Non-example: division, subtraction
5 – 6 = = 1
30 ÷ 5 = ÷ 30 = 0.167

5. Example 1
Find 2 x 2 5
Step 1: Write the whole # as a fraction
2 = 2 1
Step 2: Multiply across (numerator by numerator and denominator by denominator)
2 1 x = 4 5

6. Got It?
1) 2 3 x 6 2) 1 3 x 9 3) 1 8 x 4

7. Example 2 Find 3 5 x 4 Step 1: Write the whole number as a fraction
4 = 4 1
Step 2: Multiply across
4 1 x = 12 5
Step 3: Simplify by dividing
12 5 =

8. Example 3
Find 1 4 x 5 Step 1: Write the whole number as a fraction 5 = 5 1 Step 2: Multiply across 5 1 = 1 4 = 5 4 Step 3: Simplify by dividing 5 4 = 1 1 4

9. Got It?
4) x 3
5) x 4
6) x 5

10. A sloth spends 22 2 5 years of its life asleep.
Example 4
A sloth spends of its life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep?
Find x 28
Multiply: x =
112 5
Simplify: =
A sloth spends years of its life asleep.

11. Got It?
7) A cat spends of its life asleep. If a cat lives to be 15 years old, how many years did it spend asleep?

12. Homework Hints:
#9. Is 2 3 of 36 greater than or less than 4 5 of 30? #11. Which grade has the most students who choose a career in STEM? In other words, which is greater? 1 4 𝑜𝑓 152 or 3 10 𝑜𝑓 160 or 2 7 𝑜𝑓 147