Question

Fill in the boxes.

$\square +\frac{3}{4}=2\frac{22}{24}$

Answer 1

Step 1:

Given $\square +\frac{3}{4}=2\frac{22}{24}$

Lets convert to improper fraction

Consider

$$\begin{gathered} 2\frac{22}{24} \\ =\frac{2\times 24+22}{24} \\ =\frac{48+22}{24} \\ =\frac{70}{24} \end{gathered}$$

Hence, the improper fraction of $2\frac{22}{24}=\frac{70}{24}$

Step 2:

Let the fraction be $x$

Consider

$$\begin{gathered} x+\frac{3}{4}=\frac{70}{24} \\ x=\frac{70}{24}-\frac{3}{4} \\ x=\frac{70\times 4}{24\times 4}-\frac{3\times 24}{4\times 24} \\ x=\frac{280}{96}-\frac{72}{96} \\ x=\frac{280-72}{96} \\ x=\frac{208}{96} \\ x=\frac{52}{24} \\ x=\frac{13}{6} \end{gathered}$$

Hence, the required fraction is $\frac{13}{6}$