**High School Number Sense Lesson 4: Converting Percents to Fractions**

This concept showed up 7 times, always as question #5, this year on high school number sense tests. This is a continuation of a concept discussed on Tuesday:

**ConvFrac%**.

**Number Dojo Level: 30**

**How**

The word

*percent*literally means

*per 100*. Think:

*century, centipede, centennial, centimeter*... So to make this conversion, we

**divide by 100 and reduce**the resulting fraction (if possible).

**Example 1: 75% = ___ (fraction)**

- Divide 75 by 100. 75 ÷ 100 = 75/100.
- Reduce 75/100. You can determine that both 75 and 100 are divisible by 25. 75 ÷ 25 = 3, and 100 ÷ 25 = 4. The answer is
**3/4**.

**Example 2: 28% = ___ (fraction)**

- 28 ÷ 100 = 28/100.
- Reduce. Both 28 and 100 are divisible by 4. 28 ÷ 4 = 7, and 100 ÷ 4 = 25. The answer is
**7/25**.

**Example 3: 92% = ___ (fraction)**

- 82 ÷ 100 = 82/100.
- Reduce. Both 82 and 100 are even numbers, so they are divisible by 2. 82 ÷ 2 = 41, and 100 ÷ 2 = 50. The answer is
**41/50**.

**Example 4: 120% = ___ (mixed number)**

- 120 ÷ 100 = 120/100.
- Reduce. Both 120 and 100 are divisible by 20. 120 ÷ 20 = 6, and 100 ÷ 20 = 5. The answer is 6/5, but notice that the question asks for a mixed number answer. So the answer is
**1 1/5**.

**Example 5: 37% = ___ (fraction)**

- 37 ÷ 100 = 37/100.
- Reduce...except don't, because you can't. 37 is a prime number, so it is divisible by only itself and 1. The answer is
**37/100**.

**Here's a free worksheet to help you practice Conv%toFrac:**

conv_tofrac.pdf |

**Up Next for High School: Div9**