Solve 2a/7=2/3

$$\frac { 2 a } { 7 } = \frac { 2 } { 3 }$$

Solve for a

$$a = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 7.

$$2a=\frac{2}{3}\times 7$$

Express \frac{2}{3}\times 7 as a single fraction.

$$2a=\frac{2\times 7}{3}$$

Multiply 2 and 7 to get 14.

$$2a=\frac{14}{3}$$

Divide both sides by 2.

$$a=\frac{\frac{14}{3}}{2}$$

Express \frac{\frac{14}{3}}{2} as a single fraction.

$$a=\frac{14}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$a=\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$a=\frac{7}{3}$$