Question

Q:-(3/11*5/6)-(9/11*4/3)+(5/13*6/15)​

Answer 1

Answer:

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

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

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

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

$⟹ \frac{5 - 24}{22} + \frac{2}{13}$

$⟹ - \frac{19}{22} + \frac{2}{13}$

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

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

$⟹ - \frac{203}{286}$

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Answer 2

Answer:

Step-by-step explanation:

Consider, (3/11 × 5/6) − (9/12 × 4/3) + (5/13 × 6/15)

= (1/11 × 5/2) − (1/1 × 1/1) + (1/13 × 2/1) {Cancelling the terms]

= (5/22) − 1 + (2/13)

= [65 − 286 + 44] / 286

= [109 − 286] / 286

= −[177] / 286