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

Multiplying Fractions and Whole Numbers Lesson 4-2

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

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

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 2 5 = 4 5

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

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 3 5 = 12 5 Step 3: Simplify by dividing 12 5 = 2 2 5

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

Got It? 4) 1 2 x 3 5) 2 5 x 4 6) 3 4 x 5

A sloth spends 22 2 5 years of its life asleep. Example 4 A sloth spends 4 5 of its life asleep. If a sloth lives to be 28 years old, how many years does it spend asleep? Find 4 5 x 28 Multiply: 4 5 x 28 1 = 112 5 Simplify: 112 5 = 22 2 5 A sloth spends 22 2 5 years of its life asleep.

Got It? 7) A cat spends 2 3 of its life asleep. If a cat lives to be 15 years old, how many years did it spend asleep?

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