Solve 7x/16=101/32

$$\frac { 7 x } { 16 } = \frac { 101 } { 32 }$$

Solve for x

$$x = \frac{101}{14} = 7\frac{3}{14} \approx 7.214285714$$

Steps for Solving Linear Equation

Multiply both sides by 16.

$$7x=\frac{101}{32}\times 16$$

Express \frac{101}{32}\times 16 as a single fraction.

$$7x=\frac{101\times 16}{32}$$

Multiply 101 and 16 to get 1616.

$$7x=\frac{1616}{32}$$

Reduce the fraction \frac{1616}{32} to lowest terms by extracting and canceling out 16.

$$7x=\frac{101}{2}$$

Divide both sides by 7.

$$x=\frac{\frac{101}{2}}{7}$$

Express \frac{\frac{101}{2}}{7} as a single fraction.

$$x=\frac{101}{2\times 7}$$

Multiply 2 and 7 to get 14.

$$x=\frac{101}{14}$$