Solve 8x/19=56/57

$$\frac { 8 x } { 19 } = \frac { 56 } { 57 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides by 19.

$$8x=\frac{56}{57}\times 19$$

Express \frac{56}{57}\times 19 as a single fraction.

$$8x=\frac{56\times 19}{57}$$

Multiply 56 and 19 to get 1064.

$$8x=\frac{1064}{57}$$

Reduce the fraction \frac{1064}{57} to lowest terms by extracting and canceling out 19.

$$8x=\frac{56}{3}$$

Divide both sides by 8.

$$x=\frac{\frac{56}{3}}{8}$$

Express \frac{\frac{56}{3}}{8} as a single fraction.

$$x=\frac{56}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$x=\frac{56}{24}$$

Reduce the fraction \frac{56}{24} to lowest terms by extracting and canceling out 8.

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