**Middle School Number Sense Lesson 90: Multiplying by a Common Fraction of 100**

This concept is similar to

**Mult125var**. It has appeared

**7 times**this year, with a median placement at

**question # 14**.

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**Number Dojo Level: 83**

Recently there have been 3 different mixed numbers used in these problems:

**16 2/3**, which is exactly 50 ÷ 3 (or 100 ÷ 6),**33 1/3**, which is exactly 100 ÷ 3, and**66 2/3**, which is exactly 200 ÷ 3

**To solve these:**

- Divide the other factor by 3 (or by 6)
- Multiply by the appropriate number (50, 100, or 200)

**Example 1: 63 x**

**66 2/3**

**= ___**

- 66 2/3 is 200/3. So divide 63 by 3 to get
**21**. - Multiply by 200. The answer is
**4200**.

**Example 2: 93 x**

**33 1/3**

**= ___**

- 33 1/3 is 100/3. So divide 93 by 3 to get
**31**. - Multiply by 100 to get
**3100**.

**Example 3: 48 x**

**16**

**= ___**

- 16 2/3 is 100/6. So divide 48 by 6 to get
**8**. - Multiply by 100 to get
**800**.

**Example 4:**

**33 1/3**

**x 27= ___**

- 33 1/3 is 100/3. So divide 27 by 3 to get
**9**. - Multiply by 100 to get
**900**.

**Example 5: 84 x**

**16 2/3**

**= ___**

- 16 2/3 is 100/6. So divide 84 by 6 to get
**14**. - Multiply by 100 to get
**1400**.

**Here's a free worksheet to help you practice MultFrac100:**

multfrac100.pdf |

**Up Next for Middle School: FindInvAdd**