Solve 2/3*x=2.4

$$\frac{ 2 }{ 3 } \times x=2.4$$

Solve for x

$$x=3.6$$

Steps for Solving Linear Equation

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

$$x=2.4\times \frac{3}{2}$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{12}{5}\times \frac{3}{2}$$

Multiply \frac{12}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{12\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{12\times 3}{5\times 2}.

$$x=\frac{36}{10}$$

Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{18}{5}$$