Solve 7kdiv21/3=1/2

$$7 k \div 2 \frac { 1 } { 3 } = \frac { 1 } { 2 }$$

Solve for k

$$k=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Divide 7k by \frac{2\times 3+1}{3} by multiplying 7k by the reciprocal of \frac{2\times 3+1}{3}.

$$\frac{7k\times 3}{2\times 3+1}=\frac{1}{2}$$

Multiply 7 and 3 to get 21.

$$\frac{21k}{2\times 3+1}=\frac{1}{2}$$

Multiply 2 and 3 to get 6.

$$\frac{21k}{6+1}=\frac{1}{2}$$

Add 6 and 1 to get 7.

$$\frac{21k}{7}=\frac{1}{2}$$

Divide 21k by 7 to get 3k.

$$3k=\frac{1}{2}$$

Divide both sides by 3.

$$k=\frac{\frac{1}{2}}{3}$$

Express \frac{\frac{1}{2}}{3} as a single fraction.

$$k=\frac{1}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$k=\frac{1}{6}$$