Question

1/3(x-1/3)-1/2(2/3x-1/2)

Answer 1

For this case we must simplify the following expression:

$\frac {1} {3} (x- \frac {1} {3}) - \frac {1} {2} (\frac {2} {3} x- \frac {1} {2})$

So, if we apply distributive property to the terms within parentheses we have:

$\frac {1} {3} x- \frac {1} {9} - \frac {2} {6} x + \frac {1} {4} =\\\frac {1} {3} x- \frac {1} {9} - \frac {1} {3} x + \frac {1} {4} =$

We simplify taking into account that:

• Equal signs are added and the same sign is placed.

• Different signs are subtracted and the major sign is placed.

$- \frac {1} {9} + \frac {1} {4} =\\- \frac {4} {36} + \frac {9} {36} =\\\frac {-4 + 9} {36} =\\\frac {5} {36}$

Answer:

$\frac {5} {36}$