Solve 1/frac{0.2{50}}+1/frac{0.1{10}}

$$\frac{ 1 }{ \frac{ 0.2 }{ 50 } } + \frac{ 1 }{ \frac{ 0.1 }{ 10 } }$$

Evaluate

$$350$$

Solution Steps

Divide 1 by \frac{0.2}{50} by multiplying 1 by the reciprocal of \frac{0.2}{50}.

$$\frac{50}{0.2}+\frac{1}{\frac{0.1}{10}}$$

Expand \frac{50}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{500}{2}+\frac{1}{\frac{0.1}{10}}$$

Divide 500 by 2 to get 250.

$$250+\frac{1}{\frac{0.1}{10}}$$

Divide 1 by \frac{0.1}{10} by multiplying 1 by the reciprocal of \frac{0.1}{10}.

$$250+\frac{10}{0.1}$$

Expand \frac{10}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$250+100$$

Add 250 and 100 to get 350.

$$350$$

Factor

$$2\times 7\times 5^{2}$$