Question

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

Answer 1

ANSWER

$\frac{43}{72}$

EXPLANATION

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

That is:

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

Now, we subtract 5/6 from that.

That is:

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

That is the answer.