If two fractions have a

**common denominator**,

the fraction with the

**larger numerator is larger**.

The least common denominator of fractions is

the least common multiple of the denominators.

One way to compare fractions is to find a common denominator.

The least common denominator is the least common multiple of 6 and 4, which is 12.

Multiply both fractions by a fraction equivalent to 1 so that both fractions have 12 as their denominator.

First, since 6 × 2 = 12, multiply

$\frac{1}{6}$ by

$\frac{2}{2}$ to find a fraction equivalent to

$\frac{1}{6}$ with a denominator of 12.

$\frac{1}{6}\times \frac{2}{2}=\frac{2}{12}$

Next, since 4 × 3 = 12, multiply

$\frac{3}{4}$ by

$\frac{3}{3}$ to find a fraction equivalent to

$\frac{3}{4}$ with a denominator of 12.

$\frac{3}{4}\times \frac{3}{3}=\frac{9}{12}$

Then, compare the numerators. 9 > 2, so $\frac{9}{12}>\frac{2}{12}$.

Since $\frac{3}{4}$ is equivalent to $\frac{9}{12}$, and $\frac{1}{6}$ is equivalent to $\frac{2}{12}$, $\frac{3}{4}>\frac{1}{6}$.