Question

Simplify. 1/3(1−1/4)^2 please

Answer 1

Answer:

$\huge \boxed{\frac{3 }{16}}$

$\rule[225]{225}{2}$

Step-by-step explanation:

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

Solving for brackets:

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

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

Squaring the fraction:

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

$\displaystyle \frac{1}{3} (\frac{9 }{16} )$

Multiplying the fractions:

$\displaystyle \frac{1 \times 9 }{3 \times 16}$

$\displaystyle \frac{9 }{48}$

Simplifying the fraction:

$\displaystyle \frac{3 }{16}$

$\rule[225]{225}{2}$

Answer 2

Answer:

3/16

Step-by-step explanation:

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

1/3(3/4)^2

1/3(9/16)

3/16