Question

10/12 - 3/8 show the solution as an equation

Answer 1

To solve the equation \( \frac{10}{12} - \frac{3}{8} \), we need to find a common denominator for the fractions.

1. **Identify the denominators**: The denominators are 12 and 8.

2. **Find the least common denominator (LCD)**: The least common multiple of 12 and 8 is 24.

3. **Convert each fraction to have the LCD**:
- For \( \frac{10}{12} \):
\[
\frac{10}{12} = \frac{10 \times 2}{12 \times 2} = \frac{20}{24}
\]

- For \( \frac{3}{8} \):
\[
\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}
\]

4. **Now substitute these back into the equation**:
\[
\frac{20}{24} - \frac{9}{24} = \frac{20 - 9}{24} = \frac{11}{24}
\]

So, the final solution to the equation \( \frac{10}{12} - \frac{3}{8} \) is:
\[
\frac{10}{12} - \frac{3}{8} = \frac{11}{24}
\]