Question

`14 * (3)/(8) + 7 * (5)/(6) + 2 * (5)/(12)`

Answer 1

So firstly, do the multiplications:
`(42)/(8)+(35)/(6)+(10)/(12)`

Next, we want to find the LCM, or lowest common multiple, between the 3 denominators. In this case, it is 24. Multiply 42/8 by 3/3, 35/6 by 4/4, and 10/12 by 2/2:

`(42)/(8)*(3)/(3)=(126)/(24)\\ \\ (35)/(6)*(4)/(4)=(140)/(24)\\ \\ (10)/(12)*(2)/(2)=(20)/(24)\\ \\ (126)/(24)+(140)/(24)+(20)/(24)`

Now add up all the numerators together to get 286/24, which can be simplified to 143/12 when divided by 2 on the numerator and denominator.

In short, 143/12 is the answer.

Answer 2

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