Solve z+3/7=25/21

$$\frac { z + 3 } { 7 } = \frac { 25 } { 21 }$$

Solve for z

$$z = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 7.

$$z+3=\frac{25}{21}\times 7$$

Express \frac{25}{21}\times 7 as a single fraction.

$$z+3=\frac{25\times 7}{21}$$

Multiply 25 and 7 to get 175.

$$z+3=\frac{175}{21}$$

Reduce the fraction \frac{175}{21} to lowest terms by extracting and canceling out 7.

$$z+3=\frac{25}{3}$$

Subtract 3 from both sides.

$$z=\frac{25}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$z=\frac{25}{3}-\frac{9}{3}$$

Since \frac{25}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$z=\frac{25-9}{3}$$

Subtract 9 from 25 to get 16.

$$z=\frac{16}{3}$$