Solve the Fraction Subtraction: 1/2 - 2/7 Step-by-Step

To solve the given problem $\frac{1}{2} - \frac{2}{7}$, we need to follow these steps:

• Step 1: Find a common denominator for the fractions. The denominators are 2 and 7. The common denominator can be found by multiplying these two numbers: $2 \times 7 = 14$.
• Step 2: Convert the fractions to equivalent fractions with the common denominator. For $\frac{1}{2}$, multiply the numerator and the denominator by 7: $\frac{1}{2} = \frac{1 \times 7}{2 \times 7} = \frac{7}{14}$. For $\frac{2}{7}$, multiply the numerator and the denominator by 2: $\frac{2}{7} = \frac{2 \times 2}{7 \times 2} = \frac{4}{14}$.
• Step 3: Subtract the fractions. With a common denominator, subtract the numerators: $\frac{7}{14} - \frac{4}{14} = \frac{7 - 4}{14} = \frac{3}{14}$.
• Step 4: Simplify the resulting fraction if needed. The fraction $\frac{3}{14}$ is already in its simplest form.

Thus, the solution to the problem is $\frac{3}{14}$.