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.



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