Solve Fraction Subtraction: 4/6 - 3/9 Step-by-Step

To solve this problem, let's go step by step:

• Step 1: Identify the Least Common Denominator (LCD).
  • The denominators are 6 and 9.
  • The multiples of 6 are 6, 12, 18, 24, ...
  • The multiples of 9 are 9, 18, 27, 36, ...
  • The smallest common multiple is 18.
• Step 2: Rewrite the fractions with the common denominator of 18.
  • $\frac{4}{6}$ can be converted by finding an equivalent fraction with a denominator of 18: $\frac{4 \times 3}{6 \times 3} = \frac{12}{18}$.
  • $\frac{3}{9}$ can be converted similarly: $\frac{3 \times 2}{9 \times 2} = \frac{6}{18}$.
• Step 3: Subtract the two fractions.
  • Subtract the numerators: $12 - 6 = 6$.
  • The result is $\frac{6}{18}$.
• Step 4: Simplify the resulting fraction.
  • $\frac{6}{18}$ simplifies to $\frac{1}{3}$ by dividing both the numerator and the denominator by 6.

Therefore, the solution to the problem is $\frac{1}{3}$.