Converting a fraction to a percentage is a common math skill, especially useful in day-to-day tasks like calculating discounts, interest rates, and statistics.

## Why Convert Fractions to Percentages?

**Simplifying Data:**Percentages make it easier to understand parts of a whole, like “50%” instead of “1/2.”**Everyday Use:**Percentages are frequently used in various contexts, such as financial statements, grades, and surveys.

## Steps to Convert a Fraction to a Percentage

### Step 1: Divide the Numerator by the Denominator

The first step is to perform the division of the fraction. This means dividing the top number (numerator) by the bottom number (denominator).

### Step 2: Multiply the Result by 100

Once you have the decimal result from the division, multiply it by 100 to convert it into a percentage.

### Step 3: Add the Percentage Sign (%)

After multiplying, add the percentage symbol (%) to complete the conversion.

## Example Conversions

### Example 1: Convert 3/4 to a Percent

**Divide the numerator by the denominator:**

**Multiply by 100:**

**Add the percentage sign:** **75%**

### Example 2: Convert 2/5 to a Percent

**Divide the numerator by the denominator:**

**Multiply by 100:**

**Add the percentage sign: 40%**

### Example 3: Convert 7/8 to a Percent

**Divide the numerator by the denominator:**

**Multiply by 100:**

**Add the percentage sign: 87.5%**

## Quick Reference Table

Here’s a handy table for some common fractions and their percentage equivalents:

Fraction | Division Result | Percent |
---|---|---|

1/2 | 0.5 | 50% |

1/3 | 0.333… | 33.33% |

1/4 | 0.25 | 25% |

1/5 | 0.2 | 20% |

2/3 | 0.666… | 66.67% |

3/4 | 0.75 | 75% |

4/5 | 0.8 | 80% |

5/8 | 0.625 | 62.5% |

## Tips for Quick Conversion

**Simplify First:**If possible, simplify the fraction before converting to make the math easier.**Use a Calculator:**For fractions with large numbers or repeating decimals, use a calculator to get an accurate decimal before multiplying by 100.**Check Your Work:**After converting, ensure the percentage makes sense. For example, if the fraction is less than 1/2, the percentage should be less than 50%.

## Practice Problems

Convert **5/6** to a percentage:

**Step 1:** Divide 5 / 6:

**Step 2:** Multiply by 100:

**Answer:** **83.33%**

Convert **11/20** to a percentage:

**Step 1:** Divide 11 / 20:

**Step 2:** Multiply by 100:

**Answer:** **55%**

Now you’re ready to convert any fraction to a percentage easily. This simple process is useful in various situations, whether for math class, shopping, or analyzing data.