Question

How to get the answer of 2/5 X -3/7 - 1/14 - 3/7 X 3/5 using distributive property of multiplication?

Answer 1

The answer to the given question is - ¹/₂

Explanation:

Given;

`(2)/(5) * -(3)/(7) - (1)/(14) - (3)/(7) * (3)/(5)`

Before we apply the distributive property, perform the multiplication operation.

`((2)/(5) * -(3)/(7)) - (1)/(14) - ((3)/(7) * (3)/(5) )\\\\(-6)/(35) - (1)/(14) - (9)/(35)`

Now, apply the distributive property, to obtain the final answer,

In distributive property, the following rule is applied;

ax + ay = a(x + y)

`(-6)/(35) - (1)/(14) - (9)/(35) = (-1)/(7) ((6)/(5) + (1)/(2) + (9)/(5) )= (-1)/(7) ((12 + 5+ 18)/(10) )= (-1)/(7) ((35)/(10) ) = (-35)/(70) = (-1)/(2)`

Therefore, the answer to the given question is - ¹/₂