Question

Simplify the following ​

Answer 1

29/12

Explanation:

hello :

2/3 +5/6 +11/12 = (2×4)/(3×4) + (5×2)/(6×2) + 11/12

2/3 +5/6 +11/12 = 8/12 +10/12 +11/12 = (8+10+11)/12

2/3 +5/6 +11/12 = 29/12

Answer 2

`2(5)/(12)`

Explanation:

To add fractions, we have to make sure that they have the same denominators. To do that, we have to find their lowest common multiple (LCM).

The LCM of 3, 6, and 12 is 12.

Then we have to multiply the numerator and denominator of each fraction by a number so that the denominator becomes the LCM (12).

`(2)/(3) + (5)/(6) + (11)/(12)`

⇒
`(2 * 4)/(3 * 4) + (5 * 2)/(6 * 2) + (11 * 1)/(12 * 1)`

⇒
`(8)/(12) + (10)/(12) + (11)/(12 )`

⇒
`(8+10+11)/(12)`

⇒
`(29)/(12)`

⇒
`\bf 2(5)/(12)`