## Converting Decimal Percentages to Fractions: Worksheets and Answers

## How do we Convert Decimal Percentages to Fractions

**Percent** means **out of 100**.

**Per** means **out of** and **cent** means **100**.

Below, we have 25.4%.

Percent means out of 100. So, we will have a fraction **out of 100**.

We have 25.4%. So, we have 25.4 out of 100.

We don’t write decimals in proper fractions.

We will therefore convert to an **equivalent fraction** where both the numerator and denominator are **whole numbers**.

The easiest way to do this is to move all of the digits in our decimal 25.4 one place to the **left**.

To do this, we **multiply by 10**.

25.4 x 10 = 254

The numerator of our fraction will therefore be 254.

Because we multiplied the numerator by 10, **we must also multiply the denominator by 10**.

100 x 10 = 1000

Therefore,

25.4% = ^{254}/_{1000} .

Below, we have the decimal percentage of 39.04%.

Percent means out of 100. So, we have 39.04 **out of 100**.

We **don’t want any decimals in our fractions**.

We will therefore find an **equivalent fraction** where both the numerator and denominator are **whole numbers**.

To convert 39.04 percent to a fraction, we begin by moving all of the digits two places to the **left**.

We can do this by **multiplying by 100**.

39.04 x 100 = 3904

Because we multiplied the numerator by 100, **we must also multiply the denominator by 100**.

100 x 100 = 10 000

Therefore,

39.04% = ^{3904}/_{10 000}.