Question

1. Simplify:-
a) 3/7 × 28/15 ÷ 14/5​

Answer 1

Step-by-step explanation:

3/7×28/15÷14/5

3/7×28/5×5/14

6/7

Answer 2

Answer:

The simplification of 3/7 × 28/15 ÷ 14/5 is 2/7

Step-by-step explanation:

Given, 3/7 × 28/15 ÷ 14/5

We can change ÷ sign into X by taking the reciprocal of 14/5, i.e. 5/14.

$\frac{3}{7}$ X $\frac{28}{15}$ X $\frac{5}{14}$

= 3 X $\frac{4}{15}$ X $\frac{5}{14}$   (Dividing 28  in numerator by 7 in denominator)

= 3 X $\frac{4}{3}$ X $\frac{1}{14}$     (Dividing 15  in denominator by 5 in numerator)

= 4 X $\frac{1}{14}$            (Dividing 3 in numerator by 3 in denominator)

= $\frac{4}{14} = \frac{2}{7}$

The simplification of 3/7 × 28/15 ÷ 14/5 is 2/7.

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