Question

What is the simplified value of `2/9 + 1/2 - 7/8 + 5/6` ?

Answer 1

`2/9+1/2-7/8+5/6=49/72`

Explanation:

To simplify `2/9+1/2-7/8+5/6`, we should first make all denominators equal. For this, we ought to know Least Common Denominator (LCD) of `{9,2,8,6}`, which is `72`.

Hence, `2/9+1/2-7/8+5/6`

= `(2xx8)/(9xx8)+(1xx36)/(2xx36)-(7xx9)/(8xx9)+(5xx12)/(6xx12)`

= `16/72+36/72-63/72+60/72`

= `(16+36-63+60)/72`

= `49/72`