Question

Simplify -9/11+5/22+7/-33+8/-55

Answer 1

Answer:

$-\frac{9}{11}+\frac{5}{22}+\frac{7}{-33}+\frac{8}{-55}=-\frac{313}{330}\quad \left(\mathrm{Decimal:\quad }\:-0.94848\dots \right)$

Step-by-step explanation:

$=-\frac{9}{11}+\frac{5}{22}-\frac{7}{33}-\frac{8}{55}$

$=-\frac{270}{330}+\frac{75}{330}-\frac{70}{330}-\frac{48}{330}$

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

$=\frac{-270+75-70-48}{330}$

$\mathrm{Add\:the\:numbers:}\:-270+75-70-48=-313$

$=\frac{-313}{330}$

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

$=-\frac{313}{330}$