Solve 14.4div2/3=

$$14.4 \div \frac{ 2 }{ 3 } =$$

Evaluate

$$21.6$$

Solution Steps

Divide 14.4 by \frac{2}{3} by multiplying 14.4 by the reciprocal of \frac{2}{3}.

$$14.4\times \frac{3}{2}$$

Convert decimal number 14.4 to fraction \frac{144}{10}. Reduce the fraction \frac{144}{10} to lowest terms by extracting and canceling out 2.

$$\frac{72}{5}\times \frac{3}{2}$$

Multiply \frac{72}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{72\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{72\times 3}{5\times 2}.

$$\frac{216}{10}$$

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

$$\frac{108}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3}}{5} = 21\frac{3}{5} = 21.6$$