Question

(3/11×5/6)-(9/12×4/3)+5/13 (6/15) (rational numbers )simplify

Answer 1

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

Answer 2

Concept Introduction: BODMAS rule is the basic concept of Mathematics.

Given:

We have been Given:

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

To Find:

We have to Find: Simplify the equation.

Solution:

According to the problem, On Simplifying,

$( \frac{3}{11} \times \frac{5}{6} ) - ( \frac{9}{12} \times \frac{4}{3} ) + ( \frac{5}{3} \times \frac{6}{15} ) \\ = \frac{5}{22} - 1 + \frac{2}{3} \\ = \frac{5}{22} - \frac{5}{3} \\ = - \frac{ 95}{66}$

Final Answer: The Simplified answer is

$- \frac{95}{66}$

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