Question

Find the product. Write fractions in the simplest form,$-\frac{3}{10}\times \left(-\frac{8}{15}\right)$ ?

Answer 1

Step 1: Find the product

$-\frac{3}{10}\times \left(-\frac{8}{15}\right)=\frac{24}{150}\left[\because \frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}\right]$

Step 2: Simplifying the fraction

Dividing both numerator and denominator by $2$, we get

$\frac{24}{150}=\frac{12}{75}$

Thus, the product of $-\frac{3}{10}\times \left(-\frac{8}{15}\right)$ is $\frac{24}{150}$ and its simplest form is $\frac{12}{75}$