Y=3/1/5×4/1/2:2/1/4

To solve the expression \( y = \frac{3}{1/5} \times \frac{4}{1/2} : \frac{2}{1/4} \), we first need to clarify the operations involved. The expression can be interpreted as: 1. **Division by a fraction** can be converted to multiplication by its reciprocal. Therefore, \( a : b \) is equal to \( a \times \frac{1}{b} \). Expressing the equation with proper formats: - \( y = \frac{3}{1/5} \times \frac{4}{1/2} \times \frac{1}{(2/1/4)} \) Now, let’s calculate each part step by step: 1. **Calculate \( \frac{3}{1/5} \)**: \[ \frac{3}{1/5} = 3 \times 5 = 15 \] 2. **Calculate \( \frac{4}{1/2} \)**: \[ \frac{4}{1/2} = 4 \times 2 = 8 \] 3. **Calculate \( \frac{2}{1/4} \)**: \[ \frac{2}{1/4} = 2 \times 4 = 8 \] 4. **Now substituting back**: - Multiply the results: \[ y = 15 \times 8 \times \frac{1}{8} \] - The \( 8 \) in the numerator and denominator cancels out: \[ y = 15 \] Thus, the final result is: \[ y = 15 \]