Question

By how much is the total sum of 7/8 and 5/9 greater than 5/6?

Answer 1

`(43)/(72)`

Step-by-step explanation

First, we have to find the total sum of 7/8 and 5/9.

That is:

`\begin{gathered} (7)/(8)+(5)/(9) \\ ((9\cdot7+8\cdot5))/(72) \\ \Rightarrow(63+40)/(72) \\ \Rightarrow(103)/(72) \end{gathered}`

Now, we subtract 5/6 from that.

That is:

`\begin{gathered} (103)/(72)-(5)/(6) \\ (103-(5\cdot12))/(72) \\ (103-60)/(72) \\ \Rightarrow(43)/(72) \end{gathered}`

That is the answer.