Answer:
13/36
Step-by-step explanation:
[tex]\frac{1}{4}\left(1-\frac{2}{3} \right)^2+\frac{1}{3} \\ \\ =\frac{1}{4} \left(\frac{1}{3} \right)^2+\frac{1}{3} \\ \\ =\frac{1}{4} \left(\frac{1}{9} \right)+\frac{1}{3} \\ \\ =\frac{1}{36}+\frac{1}{3} \\ \\ =\frac{1}{36}+\frac{12}{36} \\ \\ =\frac{13}{36}[/tex]
Simplifying the expression gives 13/ 36
Given;
1/4(1-2/3)^2+1/3
Represented as;
[tex]\frac{1}{4} * ( 1 - \frac{2}3} )^2 + \frac{1}{3}[/tex]
Take the LCM of the bracket
[tex]\frac{1}{4} * ( \frac{1}{3} )^2 + \frac{1}{3}[/tex]
Find the square
[tex]\frac{1}{4} (\frac{1}{9} )+ \frac{1}{3}[/tex]
Find the LCM
[tex]\frac{1}{36} + \frac{1}{3}[/tex]
1 + 12/36
13/ 36
Thus, simplifying the expression gives 13/ 36
Learn more about fractions here:
https://brainly.com/question/1622425
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