**Middle School Number Sense Lesson 82: Converting Fractional Percents to Fractions**

I have been wanting to cover today's concept for months now, because it is missed (or skipped) at least half the time by my students. We covered its "sister concept" (

**Conv%toFrac**) about 10 months ago. You may want to review that one before moving on. This concept has appeared

**7 times**so far this year on middle school tests, with a median placement at

**question # 11**.

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**Number Dojo Level: 88**

There are 3 quick-and-easy steps to solving these problems:

- Convert the mixed number to an
**improper fraction**. **Divide by 100**(add 2 zeros to the denominator).**Reduce**.

**Example 1: 5 1/3% = ___ (fraction)**

- Convert 5 1/3 to an improper fraction:
**16/3**. - Divide by 100:
**16/300**. - Reduce:
**4/75**.

**Example 2: 4 4/9% = ___ (fraction)**

- Convert to an improper fraction:
**40/9**. - Divide by 100:
**40/900**. - Reduce: 4/90 =
**2/45**.

**Example 3: 3 7/10% = ___ (fraction)**

- Convert to an improper fraction:
**37/10**. - Divide by 100:
**37/1000**. - Since 37 is prime, this does not reduce.

**Example 4: 7 3/5% = ___ (fraction)**

- Convert to an improper fraction:
**38/5**. - Divide by 100:
**38/500**. - Reduce:
**19/250**.

**Example 5: 18.5% = ___ (fraction)**

- Convert to an improper fraction. 18.5 = 18 1/2 =
**37/2**. - Divide by 100:
**37/200**. This will not reduce.

**Example 6: 23 1/4% = ___ (fraction)**

- Convert to an improper fraction:
**93/4**. - Divide by 100:
**93/400**. This will not reduce.

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

conv_ftofrac.pdf |

**Up Next for Middle School: RemainDiv11**