Question

2. Simplify the following.
(I)(-2/9×27/-16)+(-1/2×5/3)
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Answer 1

Answer:

$\frac{-11}{24}$

Step-by-step explanation:

$[\frac{-2}{9}$ × $\frac{27}{-16}]$ $+ [\frac{-1}{2}$ × $\frac{5}{3}]$

$[\frac{27}{9(8)} ]$$+ [\frac{-5}{6}]$

$\frac{3}{8} + (\frac{-5}{6})$

$\frac{3}{8} - \frac{5}{6}$

$\frac{3(3)}{8(3)} - \frac{5(4)}{6(4)}$

$\frac{9}{24} - \frac{20}{24}$

$\frac{-11}{24}$

∴ $[\frac{-2}{9}$ × $\frac{27}{-16}]$ $+ [\frac{-1}{2}$ × $\frac{5}{3}] = \frac{-11}{24}$