Question

$\left(\frac{-5}{3}\right)\times \left(\frac{-3}{5}\right)=\_\_\_\_\_\_\_\_.$ Fill in the blanks.

Answer 1

Multiplication operations on Rational numbers:

1. In the event of augmentation, while duplicating two sane numbers, the numerator and denominators of the objective numbers are increased, separately.
2. In the event that $\frac{p}{q}$is duplicated by $\frac{s}{t}$, we get $\frac{(p\times s)}{(q\times t)}$.

Step 1:Determine the rational number

$\mathrm{Product}\mathrm{of}\mathrm{rational}\mathrm{numbers}=\frac{\mathrm{Product}\mathrm{of}\mathrm{numerator}}{\mathrm{Product}\mathrm{of}\mathrm{denominator}}$

$$\begin{gathered} =\left(\frac{-5}{3}\right)\times \left(\frac{-3}{5}\right) \\ =\frac{\left(-5\times -3\right)}{\left(3\times 5\right)} \\ =\frac{15}{15} \\ =1 \end{gathered}$$

Hence, the answer is $1.$