Solve 4224=2*22/7*16.5*h

$$4224 = 2 \times \frac { 22 } { 7 } \times 16.5 \times h$$

Solve for h

$$h = \frac{448}{11} = 40\frac{8}{11} \approx 40.727272727$$

Steps for Solving Linear Equation

Express 2\times \frac{22}{7} as a single fraction.

$$4224=\frac{2\times 22}{7}\times 16.5h$$

Multiply 2 and 22 to get 44.

$$4224=\frac{44}{7}\times 16.5h$$

Convert decimal number 16.5 to fraction \frac{165}{10}. Reduce the fraction \frac{165}{10} to lowest terms by extracting and canceling out 5.

$$4224=\frac{44}{7}\times \frac{33}{2}h$$

Multiply \frac{44}{7} times \frac{33}{2} by multiplying numerator times numerator and denominator times denominator.

$$4224=\frac{44\times 33}{7\times 2}h$$

Do the multiplications in the fraction \frac{44\times 33}{7\times 2}.

$$4224=\frac{1452}{14}h$$

Reduce the fraction \frac{1452}{14} to lowest terms by extracting and canceling out 2.

$$4224=\frac{726}{7}h$$

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

$$\frac{726}{7}h=4224$$

Multiply both sides by \frac{7}{726}, the reciprocal of \frac{726}{7}.

$$h=4224\times \frac{7}{726}$$

Express 4224\times \frac{7}{726} as a single fraction.

$$h=\frac{4224\times 7}{726}$$

Multiply 4224 and 7 to get 29568.

$$h=\frac{29568}{726}$$

Reduce the fraction \frac{29568}{726} to lowest terms by extracting and canceling out 66.

$$h=\frac{448}{11}$$