Question

Subtracting mixed numbers with unlike denominators
`6 (1)/(2) - 3 \ (7)/(8)`

Answer 1

The given fractional expression is:

`6(1)/(2)-3(7)/(8)`

Express to mixed fraction first;

`(13)/(2)-(31)/(8)`

Find the L.C.M and simplify;

`\begin{gathered} (52-31)/(8)(L\mathrm{}C\mathrm{}M\text{ of 2 and 8 is 8. 2 in 8 is 4, 4 times 13 is 52, 8 in 8 is 1, 1 times 31 is 31)} \\ (21)/(8) \\ \Rightarrow2(5)/(8) \end{gathered}`

Hence, the final answer is:

`2(5)/(8)`