Question

Evaluate and simplify the following complex fraction.

Answer 1

Answer:  -22/7

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Explanation:

The fraction 6/(-7) is the same as -6/7

We have the two fraction -6/7 and 3/11 being divided

The denominators are 7 and 11 respectively.

The LCM of those two numbers is 77 since 7*11 = 77

If we multiply each of those fractions (-6/7 and 3/11) by 77, then we'll clear out those inner denominators to simplify this complex fraction into a nicer one.

77*(-6/7) = -66

77*(3/11) = 21

This means the original complex fraction becomes -66/21

We can further simplify this by dividing each part by the GCF 3

-66/3 = -22

21/3 = 7

Therefore, the final answer is -22/7