Originally Posted by
Cursed First, you should combine the fractions in the parenthesis. To do this, find a common denominator:
$\displaystyle 3\frac{1}{7} = \frac{22}{7} = \frac{88}{28}$
$\displaystyle \frac{1}{4} = \frac {7}{28}$
Now we can add the two fractions:
$\displaystyle \frac{88}{28} + \frac{7}{28} = \frac{95}{28}$
Now divide:
$\displaystyle \frac{95}{28} \div \frac{3}{4}$
Dividing like that makes the problem harder, so we'll multiply $\displaystyle \frac{109}{28}$ by the reciprocal of $\displaystyle \frac{3}{4}$, which means we do this:
$\displaystyle \frac{95}{28} \times \frac{4}{3} = \frac {95}{21}$