Question

Simplify (-6/7×-28/18)+(-11/13×65/22),

Answer 1

Answer:

Step-by-step explanation:

(-6/7×-28/18)+(-11/13×65/22)=(-6/7×14/9)+(-11/13×65/22)

=-4/3+-5/2

=-8-15/6

=-23/6

Answer 2

Correct question is "(-6/7)×(-28/18)+(-11/13)×65/22"

Answer:

Required value is $- 1\frac{1}{6}$

Step-by-step explanation:

Given,

$( - \frac{6}{7}) \times ( - \frac{28}{18} ) + ( - \frac{11}{13} ) \times \frac{65}{22}$

We want to simplify it.

By prime factorisation,

$6 = 2 \times 3 \\ 28 = 2 \times 2 \times 7 \\ 18 = 2 \times 3 \times 3 \\ 65 = 5 \times 13 \\ 22 = 2 \times 11$

Now,

$( - \frac{6}{7}) \times ( - \frac{28}{18} ) + ( - \frac{11}{13} ) \times \frac{65}{22} \\ = \frac{6}{7} \times \frac{28}{18} - \frac{11}{13} \times \frac{65}{22} \\ = \frac{2 \times 3 \times 2 \times 2 \times 7}{7 \times 3 \times 2 \times 3} - \frac{11 \times 5 \times 13}{13 \times 11 \times 2} \\ = \frac{2 \times 2}{3} - \frac{5}{2} \\ = \frac{4}{3} - \frac{5}{2} \\ = \frac{4 \times 2 - 5 \times 3}{6} \\ = \frac{8 - 15}{6} \\ = - \frac{7}{6} \\ = - 1\frac{1}{6}$

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