Question

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

Answer 1

In exact form: 13/36

in decimal form: 0.36111111...

Answer 2

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

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

= $\frac{1}{4} - \frac{1}{3} + \frac{1}{9} + \frac{1}{3}$

= $\frac{1}{4} + \frac{1}{9}$

= $\frac{9 + 4}{9 * 4}$

= $\frac{13}{36}$