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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