Question

Simplify: $\left(\frac{3}{7}\right)\times \left(\frac{28}{15}\right)÷\left(\frac{14}{5}\right)$

Answer 1

Simplification :

BODMAS- It is a rule by which any expression is simplified. By this rule an expression in a sequence in which Bracket is solved first, then Off operation, then Division, then Multiplication, then Addition, and then finally Subtraction.

Simplify the expression $\left(\frac{3}{7}\right)\times \left(\frac{28}{15}\right)÷\left(\frac{14}{5}\right)$using BODMAS:

$\begin{array}{c}\left(\frac{3}{7}\right)\times \left(\frac{28}{15}\right)÷\left(\frac{14}{5}\right)=\frac{3}{2}\times \frac{28\times 5}{15\times 14}\\ =\frac{3}{7}\times \frac{4}{3\times 2}\\ =\frac{2}{7}\end{array}$

Hence, the simplification of $\left(\frac{3}{7}\right)\times \left(\frac{28}{15}\right)÷\left(\frac{14}{5}\right)$ is $\frac{2}{7}$.