The problem asks us to calculate the difference between two fractions: $\frac{3}{4} - \frac{1}{6}$.

1. Problem Description

The problem asks us to calculate the difference between two fractions: $\frac{3}{4} - \frac{1}{6}$.

2. Solution Steps

To subtract fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is

1

2.

First, we convert $\frac{3}{4}$ to an equivalent fraction with a denominator of

1

2. To do this, we multiply both the numerator and denominator of $\frac{3}{4}$ by 3:

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

Next, we convert $\frac{1}{6}$ to an equivalent fraction with a denominator of

1

2. To do this, we multiply both the numerator and denominator of $\frac{1}{6}$ by 2:

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

Now we can subtract the two fractions:

$\frac{3}{4} - \frac{1}{6} = \frac{9}{12} - \frac{2}{12}$

$\frac{9}{12} - \frac{2}{12} = \frac{9 - 2}{12} = \frac{7}{12}$

3. Final Answer

$\frac{7}{12}$