Solve 0.1*0.5/48*1.5^-2*2*0.375

$$\frac { 0.1 \times 0.5 } { 48 \times 1.5 ^ { - 2 } \times 2 \times 0.375 }$$

Evaluate

$$0.003125$$

Solution Steps

Multiply 0.1 and 0.5 to get 0.05.

$$\frac{0.05}{48\times 1.5^{-2}\times 2\times 0.375}$$

Calculate 1.5 to the power of -2 and get \frac{4}{9}.

$$\frac{0.05}{48\times \frac{4}{9}\times 2\times 0.375}$$

Multiply 48 and \frac{4}{9} to get \frac{64}{3}.

$$\frac{0.05}{\frac{64}{3}\times 2\times 0.375}$$

Multiply \frac{64}{3} and 2 to get \frac{128}{3}.

$$\frac{0.05}{\frac{128}{3}\times 0.375}$$

Multiply \frac{128}{3} and 0.375 to get 16.

$$\frac{0.05}{16}$$

Expand \frac{0.05}{16} by multiplying both numerator and the denominator by 100.

$$\frac{5}{1600}$$

Reduce the fraction \frac{5}{1600} to lowest terms by extracting and canceling out 5.

$$\frac{1}{320}$$

Factor

$$\frac{1}{5 \cdot 2 ^ {6}} = 0.003125$$