Question

simplify the following 4- 3/4 -1 1/8 -2 5/12

Answer 1

$4 - \frac{3}{4} - 1 \frac{1}{8} - 2 \frac{5}{12} \\ \\ = 4 - \frac{3}{4} -\frac{1 \times 8 + 1}{8} - \frac{2 \times 12 + 5}{12} \\ \\ = 4 - \frac{3}{4} - \frac{9}{8} - \frac{29}{12}$

Take the LCM of denominators:

LCM(1,4,8,12) = 24

$= \frac{4 \times 24 - 3 \times 6 - 9 \times 3 - 29 \times 2}{24} \\ \\ = \frac{96 - 18 - 27 - 58}{24} \\ \\ = \frac{96 - (18 + 27 + 58)}{24}$

$= \frac{96 - 103}{24} \\ \\ = \frac{ - 7}{24}$

$\boxed{ \bold{\red{Answer: \frac{ - 7}{24} }}}$