Question

1/4(1-2/3)^2+1/3 Simplify

Answer 1

Answer:

13/36

Step-by-step explanation:

$\frac{1}{4}\left(1-\frac{2}{3} \right)^2+\frac{1}{3} \\ \\ =\frac{1}{4} \left(\frac{1}{3} \right)^2+\frac{1}{3} \\ \\ =\frac{1}{4} \left(\frac{1}{9} \right)+\frac{1}{3} \\ \\ =\frac{1}{36}+\frac{1}{3} \\ \\ =\frac{1}{36}+\frac{12}{36} \\ \\ =\frac{13}{36}$

Answer 2

Simplifying the expression gives 13/ 36

How to solve the expression

Given;

1/4(1-2/3)^2+1/3

Represented as;

$\frac{1}{4} * ( 1 - \frac{2}3} )^2 + \frac{1}{3}$

Take the LCM of the bracket

$\frac{1}{4} * ( \frac{1}{3} )^2 + \frac{1}{3}$

Find the square

$\frac{1}{4} (\frac{1}{9} )+ \frac{1}{3}$

Find the LCM

$\frac{1}{36} + \frac{1}{3}$

1 + 12/36

13/ 36

Thus, simplifying the expression gives 13/ 36

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