Solve 1/3S*2=21.6

$$\frac { 1 } { 3 } S \cdot 2 = 21.6$$

Solve for S

$$S=32.4$$

Steps for Solving Linear Equation

Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$\frac{2}{3}S=21.6$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$S=21.6\times \frac{3}{2}$$

Convert decimal number 21.6 to fraction \frac{216}{10}. Reduce the fraction \frac{216}{10} to lowest terms by extracting and canceling out 2.

$$S=\frac{108}{5}\times \frac{3}{2}$$

Multiply \frac{108}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$S=\frac{108\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{108\times 3}{5\times 2}.

$$S=\frac{324}{10}$$

Reduce the fraction \frac{324}{10} to lowest terms by extracting and canceling out 2.

$$S=\frac{162}{5}$$