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.



4th Grade Math Activities

From Fraction as Decimal to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.