Question

What should be added to $5\frac{3}{7}$ to get 12?

Answer 1

Let x be the required fraction.

According to the question:

$$\begin{gathered} x+5\frac{3}{7}=12 \\ \Rightarrow x+\frac{(5\times 7)+3}{7}=12 \\ \Rightarrow x=12-\frac{38}{7} \\ \Rightarrow x=\frac{(12\times 7)-(38\times 1)}{7}\iff \frac{46}{7} \end{gathered}$$