How do you simplify $\frac{3}{4} - \frac{1}{2} (\frac{1}{3} + \frac{3}{7})$ $3/4 -1/2 (1/3+3/7)$ ?

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Answer 1 · 2018-07-22T20:30:35

$\frac{95}{84}$ $95/84$

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

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

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

$= \frac{3}{4} - \frac{1}{2} (\frac{16}{21})$ $=3/4-1/2(\frac{16}{21})$

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

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

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

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

$= \frac{95}{84}$ $=95/84$

How do you simplify 34−12(13+37)3/4 -1/2 (1/3+3/7)?