Question

Convert $22\frac{3}{4}$ into decimals .

Answer 1

Step 1 : Convert the mixed fraction into improper fraction :

$$\begin{gathered} \Rightarrow 22\frac{3}{4}=\frac{22\times 4+3}{4} \\ \Rightarrow 22\frac{3}{4}=\frac{91}{4} \end{gathered}$$

Step 2 : Convert the improper fraction into decimal

$\Rightarrow \frac{91}{4}=\frac{91\times 25}{4\times 25}$ ( Multiply numerator and denominator with $25$ , to make the denominator multiple of $10$ )

$\Rightarrow \frac{91}{4}=\frac{2275}{100}$

$\Rightarrow \frac{91}{4}=22.75$ ( we will place the decimal point in the numerator by counting the number of zero in the denominator by moving from right to left after two decimal places because there are two zeros in the denominator )

Thus , the conversion of $22\frac{3}{4}$ into decimals is $22.75$ .