simplify b) 6/7 + (-5/6 + 7/3
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The answer is 397/126
Remove the brackets
= 6/7 - 5/6 + 7/3
Add the numbers which has + signs first i.e 6/7 and 7/3
As they do not have same denominator take LCM
The LCM of 6/7 and 7/3 is 21
So we get,
= 6*3/7*3 + 7*7/3*7 - 5/6
= 18/21 + 49/21 - 5/6
= 67/21 - 5/6
Take LCM for 67/21 and 5/6
The LCM for 67/21 and 5/6 is 126
So we get,
= 67*6/21*6 - 5*21/6*21
= 402/126 - 105/126
= 402 - 105 / 126
= 397/126 -------> Answer
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