Question

Why is 1/6 greater than 1/8 but less than 1/3

Answer 1

If you change all the fractions so they have a common denominator, you get that 1/6 becomes 4/24, 1/8 becomes 3/24, and 1/3 becomes 8/24. 4/24 is more than 3/24. 4/24 is less than 8/24.

Answer 2

So first thing we have to realise is that we have to make them have equal denominators. So,

$\frac{1}{6} = \frac{4}{24} \\ \\ \frac{1}{8} = \frac{3}{24} \\ \\ \frac{1}{3} = \frac{8}{24}$.

Now order the fractions....so,

$\frac{1}{3} = \frac{8}{24} \\ \\ \frac{1}{6} = \frac{4}{24} \\ \\ \frac{1}{8} = \frac{3}{24}$

Now we can see why $\frac{1}{6}$ is greater than $\frac{1}{8}$ but less than $\frac{1}{3}$