Fraction as Decimal

We will discuss how to express fraction as decimal.

Let us consider some of the following examples on expressing a fraction as a decimal.

1. Convert $$\frac{4}{5}$$ into a decimal.

Solution:

 $$\frac{4}{5}$$ can be written as $$\frac{4 × 2}{5 × 2}$$                           = $$\frac{8}{10}$$                           = 0.8 We multiply the numerator and the denominator by 2 to make the denominator 10.

2. Convert $$\frac{3}{25}$$ into a decimal.

Solution:

 $$\frac{3}{25}$$ can be written as $$\frac{3 × 4}{25 × 4}$$                           = $$\frac{12}{100}$$                           = 0.12 We multiply the numerator and the denominator by 4 to make the denominator 100.

3. Convert 2$$\frac{3}{5}$$ into a decimal.

Solution:

 2$$\frac{3}{5}$$ can be written as 2 + $$\frac{3}{5}$$                           = 2 + $$\frac{3 × 2}{5 × 2}$$                           = 2 + $$\frac{6}{10}$$                           = 2 + 0.6                           = 2.6 We multiply the numerator and the denominator by 2 to make the denominator 10.

4. Convert 14$$\frac{57}{250}$$ into a decimal.

Solution:

 14$$\frac{57}{250}$$ can be written as 14 + $$\frac{57}{250}$$                                = 14 + $$\frac{57 × 4}{250 × 4}$$                                = 14 + $$\frac{228}{1000}$$                                = 14 + 0.228                                = 14.228 We multiply the numerator and the denominator by 4 to make the denominator 1000.