Respuesta :

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

Answer:

The simplified fraction is [tex]\frac{-31}{4}[/tex].

Step-by-step explanation:

Consider the provided fraction.

[tex](\frac{1}{2})^2-6(2-\frac{2}{3})[/tex]

[tex](\frac{1}{4})-6(2-\frac{2}{3})[/tex]

Distributive property:

[tex]a(b+c)=ab+ac[/tex]

Use the distributive property to simplify the above fraction.

[tex](\frac{1}{4})-12+4[/tex]

[tex](\frac{1}{4})-8[/tex]

[tex]\frac{1-32}{4}[/tex]

[tex]\frac{-31}{4}[/tex]

Hence, the simplified fraction is [tex]\frac{-31}{4}[/tex].

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