The given expression is
[tex]\frac{5}{6}-\frac{1}{4}[/tex]
To do the subtraction we must equalize the denominators
Since the lowest common multiple of 6 and 4 is 12, then make the denominators = 12
[tex]\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}[/tex][tex]\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}[/tex]
Then the expression is
[tex]\frac{5}{6}-\frac{1}{4}=\frac{10}{12}-\frac{3}{12}[/tex]
Now, we will subtract the numerators
[tex]\begin{gathered} \frac{10}{12}-\frac{3}{12}=\frac{(10-3)}{12}=\frac{7}{12} \\ \frac{5}{6}-\frac{1}{4}=\frac{7}{12} \end{gathered}[/tex]
