Question

Simplify.

Answer 1

Answer:

The simplified fraction is $\frac{-31}{4}$.

Step-by-step explanation:

Consider the provided fraction.

$(\frac{1}{2})^2-6(2-\frac{2}{3})$

$(\frac{1}{4})-6(2-\frac{2}{3})$

Distributive property:

$a(b+c)=ab+ac$

Use the distributive property to simplify the above fraction.

$(\frac{1}{4})-12+4$

$(\frac{1}{4})-8$

$\frac{1-32}{4}$

$\frac{-31}{4}$

Hence, the simplified fraction is $\frac{-31}{4}$.

Answer 2

Slimplify 2-2/3 to 4/3

1/2*2-6*4/3

slimplify 1/2*2 to 1

1-6*4/3

slimplify 6*4/3 to 24/3

1-24/3

slimplify 24/3 to 8

1-8

slimplify

-7