Solve: 3/2 - 3/8 - 1/4 | Fraction Subtraction Problem

To solve the problem $\frac{3}{2} - \frac{3}{8} - \frac{1}{4}$, follow these steps:

• Step 1: Find the Least Common Denominator (LCD): The denominators are 2, 8, and 4. The smallest number that all these can divide into is 8. So, the LCD is 8.
• Step 2: Convert each fraction to have a denominator of 8:
  • $\frac{3}{2}$ becomes $\frac{12}{8}$ because $\frac{3}{2} \times \frac{4}{4} = \frac{12}{8}$.
  • $\frac{3}{8}$ is already with a denominator of 8.
  • $\frac{1}{4}$ becomes $\frac{2}{8}$ because $\frac{1}{4} \times \frac{2}{2} = \frac{2}{8}$.
• Step 3: Perform the Subtraction:
  • First subtract the fractions: $\frac{12}{8} - \frac{3}{8} = \frac{9}{8}$.
  • Then, subtract $\frac{2}{8}$ from the result: $\frac{9}{8} - \frac{2}{8} = \frac{7}{8}$.
• Step 4: Simplify the Result: The fraction $\frac{7}{8}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{7}{8}$.