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:

\[ y = 15 \]