Solve 1/y/frac{1{2x}}*1/2x/frac{1{y}}

$$\frac{ \frac{ 1 }{ y } }{ \frac{ 1 }{ 2x } } \times \frac{ \frac{ 1 }{ 2x } }{ \frac{ 1 }{ y } }$$

Evaluate

$$1$$

Solution Steps

Divide \frac{1}{y} by \frac{1}{2x} by multiplying \frac{1}{y} by the reciprocal of \frac{1}{2x}.

$$\frac{2x}{y}\times \frac{\frac{1}{2x}}{\frac{1}{y}}$$

Divide \frac{1}{2x} by \frac{1}{y} by multiplying \frac{1}{2x} by the reciprocal of \frac{1}{y}.

$$\frac{2x}{y}\times \frac{y}{2x}$$

Multiply \frac{2x}{y} times \frac{y}{2x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2xy}{y\times 2x}$$

Cancel out 2xy in both numerator and denominator.

$$1$$

Factor

$$1$$