Question

Find the product. Write fractions in simplest form

$1\frac{3}{5}\times \left(-3\frac{3}{4}\right)$

Answer 1

Simplify the expression:

$$\begin{gathered} =1\frac{3}{5}·\left(-3\frac{3}{4}\right) \\ =\left(1+\frac{3}{5}\right)\times \left(-3-\frac{3}{4}\right) \\ =\left(\frac{8}{5}\right)\left(\frac{-15}{4}\right) \\ =-\frac{120}{20} \end{gathered}$$

Product of numbers with the different sign is negative.

On converting $-\frac{120}{20}$ to simplest form, we get $-\frac{6}{1}$.

Hence,the final answer is $-\frac{6}{1}$.