Question

Multiply and express as a mixed fraction: $7\times 2\frac{1}{4}$.

Answer 1

Multiply:

Convert the given mixed fraction $7\times 2\frac{1}{4}$ into improper fraction and then multiply as

$$\begin{gathered} 7\times 2\frac{1}{4}=7\times \left(\frac{4\times 2+1}{4}\right) \\ =7\times \left(\frac{8+1}{4}\right) \\ =7\times \left(\frac{9}{4}\right) \\ =\frac{63}{4} \\ =15\frac{3}{4} \end{gathered}$$

Hence, $7\times 2\frac{1}{4}=15\frac{3}{4}$.