Question

Simplify (3/11×5/6)-(9/12×4/3)+(5/13×6/15)

Answer 1

Step-by-step explanation:

$( \frac{3}{11} \times \frac{5}{6} ) - ( \frac{9}{12} \times \frac{4}{3} ) + ( \frac{5}{13} \times \frac{6}{15})$

$\frac{5}{22} - (0) + \frac{2}{13}$

$lcm \: of \: 22and13 = 286$

$\frac{5}{22} \times \frac{13}{13} = \frac{65}{286}$

$\frac{2}{13} \times \frac{22}{22} = \frac{44}{286}$

$= \frac{65 - 44}{286} = \frac{21}{286}$

Answer 2

Answer:

- $\frac{177}{286}$

Step-by-step explanation:

(3/11×5/6)-(9/12×4/3)+(5/13×6/15)=

= $\frac{3}{11}$×$\frac{5}{6}$ - $\frac{9}{12}$×$\frac{4}{3}$ +$\frac{5}{13}$×$\frac{6}{15}$ =

= $\frac{5}{22}$ - 1 + $\frac{2}{13}$ =

= $\frac{5*13+22*2 - 22*13}{22*13}$=

= - $\frac{177}{286}$