Solve Fraction Subtraction: 3/4 minus 5/12 Step-by-Step

To solve the problem $\frac{3}{4} - \frac{5}{12}$, we need to subtract two fractions with different denominators. Let's follow these steps:

• Step 1: Identify the least common denominator (LCD) of the two fractions. Here, the denominators are 4 and 12. The least common multiple of 4 and 12 is 12.
• Step 2: Convert $\frac{3}{4}$ to an equivalent fraction with a denominator of 12. To do this, we multiply both the numerator and the denominator by 3:
  $\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$
• Step 3: Now that both fractions have the same denominator, we can subtract the numerators:
  $\frac{9}{12} - \frac{5}{12} = \frac{9 - 5}{12} = \frac{4}{12}$
• Step 4: Simplify the fraction $\frac{4}{12}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
  $\frac{4}{12} = \frac{4 \div 4}{12 \div 4} = \frac{1}{3}$

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