Solve 50*8*12/4=60*16*H/2

$$\frac { 50 \times 8 \times 12 } { 4 } = \frac { 60 \times 16 \times H } { 2 }$$

Solve for H

$$H = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$50\times 8\times 12=2\times 60\times 16H$$

Multiply 50 and 8 to get 400.

$$400\times 12=2\times 60\times 16H$$

Multiply 400 and 12 to get 4800.

$$4800=2\times 60\times 16H$$

Multiply 2 and 60 to get 120.

$$4800=120\times 16H$$

Multiply 120 and 16 to get 1920.

$$4800=1920H$$

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

$$1920H=4800$$

Divide both sides by 1920.

$$H=\frac{4800}{1920}$$

Reduce the fraction \frac{4800}{1920} to lowest terms by extracting and canceling out 960.

$$H=\frac{5}{2}$$