How do you simplify 3/4 -1/2 (1/3+3/7)?

$\frac{95}{84}$

Explanation:

Follow $B O D M A S S$ rule for simplification as follows

$\frac{3}{4} - \frac{1}{2} \left(\frac{1}{3} + \frac{3}{7}\right)$

$= \frac{3}{4} - \frac{1}{2} \left(\setminus \frac{1 \setminus \cdot 7 + 3 \setminus \cdot 3}{3 \setminus \cdot 7}\right)$

$= \frac{3}{4} - \frac{1}{2} \left(\setminus \frac{16}{21}\right)$

$= \frac{3}{4} - \frac{1}{2} \setminus \times \setminus \frac{16}{21}$

$= \frac{3}{4} - \setminus \frac{8}{21}$

$= \setminus \frac{3 \setminus \cdot 21 + 8 \setminus \cdot 4}{4 \setminus \cdot 21}$

$= \setminus \frac{63 + 32}{84}$

$= \frac{95}{84}$