Find the product: i. 2/3 × 3/10 ii. 7/11 × 5/8 iii. -4/7 × 5/14 Class 9

Find the product: i. 2/3 × 3/10 ii. 7/11 × 5/8 iii. -4/7 × 5/14 Class 9

Question 1.

Find the product: Class 9

i. $\quad \frac{2}{3} \times \frac{3}{10}$

ii. $\frac{7}{11} \times \frac{5}{8}$

iii. $\quad-\frac{4}{7} \times \frac{5}{14}$

Solution:

$\begin{aligned} & \text { i. } \quad \frac{2}{3} \times \frac{3}{10}=\frac{2 \times 3}{3 \times 10}=\frac{6}{30} \\ & \therefore \quad \frac{2}{3} \times \frac{3}{10}=\frac{1}{5} \\ & \text { ii. } \quad \frac{7}{11} \times \frac{5}{8}=\frac{7 \times 5}{11 \times 8} \\ & \therefore \quad \frac{7}{11} \times \frac{5}{8}=\frac{35}{88} \\ & \text { iii. } \quad-\frac{4}{7} \times \frac{5}{14}=\frac{-4 \times 5}{7 \times 14}=\frac{-20}{98} \\ & \therefore \quad-\frac{4}{7} \times \frac{5}{14}=-\frac{10}{49}\end{aligned}$

Question 2.

Find the Eqotient: Class 9

i. $\quad \frac{2}{3} \div \frac{3}{10}$

ii. $\quad \frac{7}{11} \div \frac{5}{8}$

iii. $\quad-\frac{4}{7} \div \frac{5}{14}$

Solution:

i. $\begin{aligned} \frac{2}{3} \div \frac{3}{10} & =\frac{2}{3} \times \frac{10}{3} \\ & =\frac{2 \times 10}{3 \times 3} \\ \therefore \quad \frac{2}{3} \div \frac{3}{10} & =\frac{20}{9}\end{aligned}$

ii. $\quad \begin{aligned} \frac{7}{11} \div \frac{5}{8} & =\frac{7}{11} \times \frac{8}{5} \\ & =\frac{7 \times 8}{11 \times 5} \\ \therefore \quad \frac{7}{11} \div \frac{5}{8} & =\frac{56}{55}\end{aligned}$

$\begin{array}{ll}\text { iii. } & -\frac{4}{7} \div \frac{5}{14} \\ & =-\frac{4}{7} \times \frac{14}{5} \\ & =\frac{-4 \times 14}{7 \times 5} \\ & =-\frac{56}{35} \\ \therefore \quad & -\frac{4}{7} \div \frac{5}{14}=-\frac{8}{5}\end{array}$