Solve 40=1/2*k*25/100

$$40 = \frac { 1 } { 2 } \cdot k \cdot \frac { 25 } { 100 }$$

Solve for k

$$k=320$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$40=\frac{1}{2}k\times \frac{1}{4}$$

Multiply \frac{1}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$40=\frac{1\times 1}{2\times 4}k$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 4}.

$$40=\frac{1}{8}k$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{8}k=40$$

Multiply both sides by 8, the reciprocal of \frac{1}{8}.

$$k=40\times 8$$

Multiply 40 and 8 to get 320.

$$k=320$$