Answer :
We need to solve
[tex]\frac{5}{6}-\frac{5}{12}[/tex]If we multiply by 2/2 the first fraction, we have
[tex]\frac{5}{6}\cdot(\frac{2}{2})-\frac{5}{12}[/tex]this is the same fraction because 2/2 is equal to one. In other words,
[tex]\frac{5}{6}\cdot(\frac{2}{2})=\frac{5}{6}\cdot1=\frac{5}{6}[/tex]that is, we have not altered the fraction.However, in this form its more easy to see that
[tex]\frac{5}{6}\cdot(\frac{2}{2})-\frac{5}{12}=\frac{10}{12}-\frac{5}{12}[/tex]because
[tex]\frac{5}{6}\cdot(\frac{2}{2})=\frac{10}{12}[/tex]but now, both fraction have the same denominator. Hence, we obtain
[tex]\frac{10}{12}-\frac{5}{12}=\frac{10-5}{12}=\frac{5}{12}[/tex]and the answer is 5/12.