Solve 30=k(1/4)(10)

$$30 = k ( \frac { 1 } { 4 } ) ( 10 )$$

Solve for k

$$k=12$$

Steps for Solving Linear Equation

Multiply \frac{1}{4} and 10 to get \frac{10}{4}.

$$30=k\times \frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$30=k\times \frac{5}{2}$$

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

$$k\times \frac{5}{2}=30$$

Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.

$$k=30\times \frac{2}{5}$$

Express 30\times \frac{2}{5} as a single fraction.

$$k=\frac{30\times 2}{5}$$

Multiply 30 and 2 to get 60.

$$k=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$k=12$$