Question

Write the following decimal as a fraction and reduce it to the lowest form:

$2.32$

Answer 1

Step 1: Conversion of decimal into a fraction:

Given, $2.32$

$$\begin{gathered} \Rightarrow 2+\frac{32}{100} \\ \Rightarrow \frac{200+32}{100} \\ \Rightarrow \frac{232}{100} \end{gathered}$$

Step 2: Reducing the fraction into its lowest form:

$$\begin{gathered} \Rightarrow \frac{232}{100}(SinceHCFof232and100is4) \\ \Rightarrow \frac{{\displaystyle \frac{232}{4}}}{{\displaystyle \frac{100}{4}}} \\ \Rightarrow \frac{58}{25} \end{gathered}$$

Therefore, $\frac{58}{25}$is the lowest form of a fraction.