Given:
The expression is:
[tex]-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{1}{4}-\left(\dfrac{2}{5}+\dfrac{3}{7}\right)[/tex]
Using the distributive property, we get
[tex]=-\dfrac{1}{4}-\dfrac{2}{5}-\dfrac{3}{7}[/tex]
Taking LCM, we get
[tex]=\dfrac{-35-56-60}{140}[/tex]
[tex]=\dfrac{-151}{140}[/tex]
Therefore, the expression [tex]-\dfrac{151}{140}[/tex] is equivalent to the given expression expression.
Note: There are more than one equivalent expressions.
