Question

Solve: $2\frac{3}{11}+1\frac{3}{77}$.

Answer 1

We can write mixed function as below

$a\frac{b}{c}=\frac{a.c+b}{c}=a+\frac{b}{c}.......\left(1\right)$

We are given, $2\frac{3}{11}+1\frac{3}{77}$

$=2+\frac{3}{11}+1+\frac{3}{77}$

$=3+(\frac{3}{11}+\frac{3}{77})$

$=3+(\frac{3\times 7}{11\times 7}+\frac{3}{77})$ ( L.C.M of $11$ & $77$ is $77$)

$=3+\left(\frac{21+3}{77}\right)$

$=3+\frac{24}{77}$

$=3\frac{24}{77}$ ( from eq. $\left(1\right)$ )

So, $2\frac{3}{11}+1\frac{3}{77}=3\frac{24}{77}$