Solve the Fraction Subtraction: 3/4 - 1/6 Step by Step

To solve the problem of subtracting the fractions $\frac{3}{4}$ and $\frac{1}{6}$, we follow these steps:

• First, identify the least common denominator (LCD) of the given fractions' denominators. The numbers 4 and 6 have an LCD of 12.
• Next, convert each fraction to have this common denominator.

The fraction $\frac{3}{4}$ is converted by determining what number we multiply 4 by to get 12 (which is 3). Thus, multiply both the numerator and the denominator by 3:
$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$.

The fraction $\frac{1}{6}$ is converted by determining what number we multiply 6 by to get 12 (which is 2). Hence, multiply both the numerator and the denominator by 2:
$\frac{1}{6} = \frac{1 \times 2}{6 \times 2} = \frac{2}{12}$.

• Now that both fractions have the common denominator, subtract the numerators:

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

The solution is the fraction $\frac{7}{12}$.

In conclusion, the answer to this problem is $\frac{7}{12}$.