Question

Fill in the blanks:

$7\frac{2}{3}+.....=9$

Answer 1

Let the value in the blank be x.

$$\begin{gathered} 7\frac{2}{3}+x=9 \\ \Rightarrow \frac{23}{3}+x=9 \\ \Rightarrow \frac{23}{3}+x-\frac{23}{3}=9-\frac{23}{3} \\ \Rightarrow x=\frac{9\times 3}{1\times 3}-\frac{23}{3} \\ \Rightarrow x=\frac{27}{3}-\frac{23}{3} \\ \Rightarrow x=\frac{27-23}{3} \\ \Rightarrow x=\frac{4}{3} \\ \Rightarrow x=1\frac{1}{3} \end{gathered}$$

Thus, $7\frac{2}{3}+\underline{1\frac{1}{3}}=9$.