Solve 46.4*0.05/0.15

$$46.4 \times \frac{ 0.05 }{ 0.15 }$$

Evaluate

$$\frac{232}{15}\approx 15.466666667$$

Solution Steps

Expand \frac{0.05}{0.15} by multiplying both numerator and the denominator by 100.

$$46.4\times \frac{5}{15}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

$$46.4\times \frac{1}{3}$$

Convert decimal number 46.4 to fraction \frac{464}{10}. Reduce the fraction \frac{464}{10} to lowest terms by extracting and canceling out 2.

$$\frac{232}{5}\times \frac{1}{3}$$

Multiply \frac{232}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{232\times 1}{5\times 3}$$

Do the multiplications in the fraction \frac{232\times 1}{5\times 3}.

$$\frac{232}{15}$$

Factor

$$\frac{29 \cdot 2 ^ {3}}{3 \cdot 5} = 15\frac{7}{15} = 15.466666666666667$$