# Converting a decimal to a proper fraction without simplifying: Basic

Recall that a **proper fraction** is a fraction where the numerator is smaller than the denominator;

For **example**, $\frac{3}{5}$.

Here numerator 3 is smaller than denominator 5.

**Rules to convert a decimal to a proper fraction without simplifying.**

We drop the decimal point and write the number as the numerator of a fraction.

We take the place value of the last digit of the decimal number and write it as the denominator of the fraction.

Convert decimal 0.28 to a proper fraction without simplifying.

### Solution

**Step 1:**

We drop the decimal and write the number 28 as the numerator of a fraction.

**Step 2:**

The place value of the last digit 8 is a hundredth. So, we write 100 as the denominator of the fraction to get

$0.28 = \frac{28}{100}$ (without simplifying)

Convert decimal 0.75 to a proper fraction without simplifying.

### Solution

**Step 1:**

We drop the decimal and write the number 75 as the numerator of a fraction.

**Step 2:**

The place value of the last digit 5 is a hundredth. So we write 100 as the denominator of the fraction to get

$0.75 = \frac{75}{100}$ (without simplifying)