Fractions can be represented as decimals. The accurate and the sure shot way of converting a fraction into decimal is by long form division. The quotient gives the required decimal.

**Another method of converting fractions to decimals**

For some fractions we can find a number such that if the denominator is multiplied by this number it will result in a power of 10. Such fractions can be converted to decimals by the following steps:

**Step 1:** Identify a number such that if the denominator of the fraction is multiplied by this number will result in a power of 10.

**Step 2:** Multiply the numerator and the denominator of the fraction with the same number as in Step 1.

**Step 3:** Place the decimal point such that there are the same number of digits to the right of the decimal point as in the denominator.### Examples for converting fraction into decimal

Below are some examples based on converting fractions into decimals

**1.** Convert $\frac{2}{3}$ to a decimal number.

**Solution:**

We know that $\frac{2}{5}$ = 2 ÷ 5

Let us perform the long form division.

Hence, $\frac{2}{5}$ = 0.4

**2.** Convert $\frac{7}{8}$ to a decimal.

**Solution:**

We know that $\frac{7}{8}$ = 7 ÷ 8

Hence , $\frac{7}{8}$ = 0.875

In the above examples, the division resulted in zero remainder after a finite number of steps. But here are cases where the remainder does not become zero. This results in non-terminating decimals.

**3. **Convert $\frac{1}{3}$ to a decimal.

**Solution: **

Performing long term division we get,

The remainder does not become zero.

Hence , $\frac{1}{3}$ = 0.333...

The decimal does not terminate. Here 3 repeats in the decimal. This is represented as $\frac{1}{3}$ = 0.3

**4.** Convert $\frac{3}{5}$ to a decimal.

**Solution:**

**Step 1: **Identify a number such that if the denominator of the fraction is multiplied by this number it will result in a power of 10.

We can see that if we multiply the denominator by 2 we get a power of 10 in the denominator.

**Step 2:** Multiply the numerator and the denominator of the fraction with the same number in the Step 1.

= $\frac{3}{5}$ = $\frac{(3\times2)}{(5\times2)}$

= $\frac{6}{10}$

**Step 3:** Place the decimal point such that there are the same number of digits to the right of the decimal point as in the denominator.

We get, = $\frac{3}{5}$ = $\frac{6}{10}$ = 0.6