Question

What is 6 7/8 + 7 5/12

`6 \: (7)/(8) \: + 7 (5)/(12)`

Answer 1

Here is your equation:

`6 (7)/(8) + 7 (5)/(12)`

As you can see, the denominators, which is the bottom number in the fraction, are different. You need to have the same denominator, so that you can add it. To change the denominators, you need to find the LCM of both denominators, which is 8 and 12. To find the LCM, first list the multiples of both numbers and see what is common.

`8 - 8, 16, 24, 32, 40, 48, 56 \\12-12, 24, 36, 48`

The only common number is 48. That means you need to change both fractions so that they have a denominator of 48.

`6 (7 * 6)/(8 * 6) \rightarrow 6 (49)/(48)`

`7 (5 * 4)/(12 * 4) \rightarrow 7 (20)/(48)`

Here is your new equation:

`6 (49)/(56) + 7 (20)/(48)`

Add:

`6 (49)/(48) + 7 (20)/(48) = 13 (69)/(48)`

Simplify:

`13 (69)/(48) \rightarrow 14 (21)/(48) \rightarrow 14 (7)/(16)`

Your answer is 14
`(7)/(16)`

If you have any questions, feel free to ask in the comments! :)