Question

Complete the inequality. (-9/8)/(-2 3/4) ? 3/22 > < =

Answer 1

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

$\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}$

$=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}$

$=\frac{\frac{3}{8}}{\frac{11}{4}}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$

$=\frac{3\cdot \:4}{8\cdot \:11}$

$\frac{3}{22}$

Thus, $\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}$ = $\frac{3}{22}$

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