Solve 73*10^-3/5*(1/0,31/40)

$$\frac { 73 \times 10 ^ { - 3 } } { 5 } \times ( \frac { 1 } { 0,3 } \frac { 1 } { 40 } )$$

Evaluate

$$\frac{73}{60000}\approx 0,001216667$$

Solution Steps

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{73\times \frac{1}{1000}}{5}\times \frac{1}{0,3}\times \frac{1}{40}$$

Multiply 73 and \frac{1}{1000} to get \frac{73}{1000}.

$$\frac{\frac{73}{1000}}{5}\times \frac{1}{0,3}\times \frac{1}{40}$$

Express \frac{\frac{73}{1000}}{5} as a single fraction.

$$\frac{73}{1000\times 5}\times \frac{1}{0,3}\times \frac{1}{40}$$

Multiply 1000 and 5 to get 5000.

$$\frac{73}{5000}\times \frac{1}{0,3}\times \frac{1}{40}$$

Expand \frac{1}{0,3} by multiplying both numerator and the denominator by 10.

$$\frac{73}{5000}\times \frac{10}{3}\times \frac{1}{40}$$

Multiply \frac{73}{5000} and \frac{10}{3} to get \frac{73}{1500}.

$$\frac{73}{1500}\times \frac{1}{40}$$

Multiply \frac{73}{1500} and \frac{1}{40} to get \frac{73}{60000}.

$$\frac{73}{60000}$$

Factor

$$\frac{73}{3 \cdot 2 ^ {5} \cdot 5 ^ {4}} = 0.0012166666666666667$$