Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{5}{6}-\frac{1}{3}[/tex]
Before you can subtract these, you need to make both fractions have the same denominator. Because 6 is already a multiple of 3, all you need to do is multiply the second fraction by [tex]\frac{2}{2}[/tex]:
[tex]\frac{1}{3}\times\frac{2}{2}=\frac{2}{6}[/tex]
Now that they have the same base, you can subtract the numerators:
[tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}[/tex]
Finally, you can simplify the fraction. The numerator and denominator are both multiples of 3, so divide by [tex]\frac{3}{3}[/tex]:
[tex]\frac{3}{6}\div\frac{3}{3}=\frac{1}{2}[/tex]
