Question

Q:-(3/11*5/6)-(9/11*4/3)+(5/13*6/15)​

Answer 1

Step-by-step explanation:

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Q:-(3/11*5/6)-(9/11*4/3)+(5/13*6/15)

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

$⟹\bold{( \frac{1}{11} \times \frac{5}{2} ) - ( \frac{3}{11} \times 4) + ( \frac{1}{13} \times \frac{6}{3} )}$

$⟹\bold{( \frac{5}{22} ) - ( \frac{12}{11}) + \frac{2}{13}}$

$⟹ \bold{\frac{5 - 24}{22} + \frac{2}{13} }$

$⟹ \bold{ - \frac{19}{22} + \frac{2}{13}}$

$\bold{l.c.m \: of \: 22 \: and \: 13 = 286}$

$⟹ \bold{\frac{ - 19 \times 13 + 2 \times 22}{286} = \frac{ - 247 + 44}{286}}$

$⟹\bold{ - \frac{203}{286}}$

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Answer 2

$( \frac{3}{11} \times \frac{5}{6} ) - (\frac{9}{11} \times \frac{4}{3} ) + ( \frac{5}{13} \times \frac{6}{15} ) \\ \frac{5}{22} - ( \frac{12}{11} ) + \frac{2}{13 } \\ \frac{15}{22} - \frac{12}{11} + \frac{12}{13} \\ \frac{195 - 312 + 264}{286} \\ \frac{459 - 312}{286} = \frac{147}{286}$