Answer:
The answer is
[tex] \frac{37}{28} [/tex]
Step-by-step explanation:
[tex] - \frac{5}{6} \times \frac{5}{7} - \frac{1}{2} \times \frac{4}{3} - \frac{1}{12} \times \frac{5}{7} [/tex]
To solve the expression use PEDMAS
That's solve the multiplication first
So we have
[tex] - \frac{5}{6} \times \frac{5}{7} = - \frac{25}{42} [/tex]
[tex] \frac{1}{2} \times \frac{4}{3} = \frac{2}{3} [/tex]
[tex] \frac{1}{12} \times \frac{5}{7} = \frac{5}{84} [/tex]
So we now have
[tex] - \frac{25}{42} - \frac{2}{3} - \frac{5}{84} [/tex]
Find the LCM
The LCM is 84
So we have
[tex] - \frac{25}{42} - \frac{2}{3} - \frac{5}{84} = \frac{ - 50 - 56 - 5}{84} [/tex]
[tex] = - \frac{111}{84} [/tex]
Simplify
We have the final answer as
[tex] \frac{37}{28} [/tex]
Hope this helps you
