A fraction equlvalent to `(24)/(36)` is

Options

A. `(3)/(4)`
B. `(2)/(3)`
C. `(8)/(12)`
D. none of these

Answer

To find a fraction equivalent to \( \frac{24}{36} \), we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).

### Step-by-Step Solution:

1. **Identify the GCD of 24 and 36**:
- The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
- The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
- The common factors are: 1, 2, 3, 4, 6, 12
- The greatest common factor is 12.

2. **Divide the numerator and the denominator by the GCD**:
- Divide the numerator: \( 24 \div 12 = 2 \)
- Divide the denominator: \( 36 \div 12 = 3 \)

3. **Write the equivalent fraction**:
- After simplification, we have \( \frac{24}{36} = \frac{2}{3} \).

Thus, a fraction equivalent to \( \frac{24}{36} \) is \( \frac{2}{3} \).