Solve the Fraction Subtraction: 3/7 minus 1/3

To solve this problem, we'll follow these steps:

• Step 1: Identify the fractions and denominators involved.
• Step 2: Find a common denominator for the two fractions.
• Step 3: Convert each fraction to an equivalent fraction with the common denominator.
• Step 4: Subtract the numerators and simplify the result.

Let's perform each of these steps:

Step 1: We have the fractions $\frac{3}{7}$ and $\frac{1}{3}$.

Step 2: Find a common denominator. The denominators are 7 and 3, so the common denominator will be $7 \times 3 = 21$.

Step 3: Convert each fraction:

• For $\frac{3}{7}$, multiply both numerator and denominator by 3 to get $\frac{3 \times 3}{7 \times 3} = \frac{9}{21}$.
• For $\frac{1}{3}$, multiply both numerator and denominator by 7 to get $\frac{1 \times 7}{3 \times 7} = \frac{7}{21}$.

Step 4: Subtract the numerators:

$\frac{9}{21} - \frac{7}{21} = \frac{9 - 7}{21} = \frac{2}{21}$.

Simplify if necessary: Here, $\frac{2}{21}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{2}{21}$.