Question

Add the following:

$\frac{45}{25}+3\frac{2}{5}+6\frac{3}{10}$

Answer 1

Step 1 : Convert mixed fraction into simple fraction

$3\frac{2}{5}=\frac{17}{5},6\frac{3}{10}=\frac{63}{10}$

Step 2: Take LCM of denomination of simple fraction

$\text{LCM}(25,5,10)=50$

Step 3 : Make denominator equal to the LCM to find equivalent number

$$\begin{gathered} \frac{45}{25}=\frac{45\times 2}{25\times 2}=\frac{90}{50} \\ \frac{17}{5}=\frac{17\times 10}{5\times 10}=\frac{170}{50} \\ \frac{63}{10}=\frac{63\times 5}{10\times 5}=\frac{315}{50} \end{gathered}$$

Final Step: Add the equivalent number

$\frac{90}{50}+\frac{170}{50}+\frac{315}{50}=\frac{575}{50}=11.5$

Hence, the required answer is $11.5$