Question

Which of the following is equivalent to the expression - 1/4-(2/5 + 3/7)?

Answer 1

Given:

The expression is:

`-(1)/(4)-\left((2)/(5)+(3)/(7)\right)`

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

`-(1)/(4)-\left((2)/(5)+(3)/(7)\right)`

Using the distributive property, we get

`=-(1)/(4)-(2)/(5)-(3)/(7)`

Taking LCM, we get

`=(-35-56-60)/(140)`

`=(-151)/(140)`

Therefore, the expression
`-(151)/(140)` is equivalent to the given expression expression.

Note: There are more than one equivalent expressions.