Question

Fill in the blanks.

$\frac{2}{13}+\frac{\boxed{}}{\boxed{}}=3\frac{3}{13}$

Answer 1

Step1: convert the mixed fraction into the simple fraction:

so

$\begin{array}{rcl}3\frac{3}{13}& =& \frac{3\times 13+3}{13}\\ & =& \frac{39+3}{13}\\ & =& \frac{42}{13}\end{array}$

Step2: Finding the missing fraction:

Both the fractions have the same denominator $13$

Therefore to find the missing term we have to subtract $\frac{2}{13}$from $\frac{42}{13}$

$\begin{array}{rcl}\frac{\boxed{}}{\boxed{}}& =& \frac{42}{13}-\frac{2}{13}\\ & =& \frac{42-2}{13}\\ & =& \frac{40}{13}\end{array}$

Hence the missing fraction will be $\frac{40}{13}$