Solve 1440/150.8=150.8h/150*8

$$\frac { 1440 } { 150.8 } = \frac { 150.8 h } { 150 \cdot 8 }$$

Solve for h

$$h = \frac{10800000}{142129} = 75\frac{140325}{142129} \approx 75.987307305$$

Steps for Solving Linear Equation

Expand \frac{1440}{150.8} by multiplying both numerator and the denominator by 10.

$$\frac{14400}{1508}=\frac{150.8h}{150\times 8}$$

Reduce the fraction \frac{14400}{1508} to lowest terms by extracting and canceling out 4.

$$\frac{3600}{377}=\frac{150.8h}{150\times 8}$$

Multiply 150 and 8 to get 1200.

$$\frac{3600}{377}=\frac{150.8h}{1200}$$

Divide 150.8h by 1200 to get \frac{377}{3000}h.

$$\frac{3600}{377}=\frac{377}{3000}h$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{377}{3000}h=\frac{3600}{377}$$

Divide both sides by \frac{377}{3000}.

$$h=\frac{\frac{3600}{377}}{\frac{377}{3000}}$$

Express \frac{\frac{3600}{377}}{\frac{377}{3000}} as a single fraction.

$$h=\frac{3600}{377\times \frac{377}{3000}}$$

Multiply 377 and \frac{377}{3000} to get \frac{142129}{3000}.

$$h=\frac{3600}{\frac{142129}{3000}}$$