Question

simplify: ( (1/3) -2 - (1/2) -3 ) ÷ (1/4)-2

Answer 1

Step-by-step explanation:

$( \frac{1}{3} ) - 2 - ( \frac{1}{2} - 3 ) \div ( \frac{1}{4} ) - 2 \\ = 1 \times (2 \times 3) - (1 \times (3 \times 2)) \div (1 \times (2 \times 4) \\ = (1 \times 6) - (1 \times 6) \div (1 \times 8) \\ = \frac{6}{3} - \frac{6}{2} \div \frac{8}{2} \\ = (6 \times 2) - (6 \times 3) \div \frac{8}{2} \\ = 12 - 18 \div \frac{8}{2} \\ = \frac{ - 6}{6} \div \frac{8}{2} \\ = \frac{ - 6}{6} \times \frac{2}{8} \\ = \frac{ - 3}{3} \times \frac{1}{4} \\ = \frac{ - 3}{12}$