Solve 0.3/0.03+0.003/0.03

$$\frac{ 0.3 }{ 0.03 } + \frac{ 0.003 }{ 0.03 }$$

Evaluate

$$10.1$$

Solution Steps

Expand \frac{0.3}{0.03} by multiplying both numerator and the denominator by 100.

$$\frac{30}{3}+\frac{0.003}{0.03}$$

Divide 30 by 3 to get 10.

$$10+\frac{0.003}{0.03}$$

Expand \frac{0.003}{0.03} by multiplying both numerator and the denominator by 1000.

$$10+\frac{3}{30}$$

Reduce the fraction \frac{3}{30} to lowest terms by extracting and canceling out 3.

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

Convert 10 to fraction \frac{100}{10}.

$$\frac{100}{10}+\frac{1}{10}$$

Since \frac{100}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{100+1}{10}$$

Add 100 and 1 to get 101.

$$\frac{101}{10}$$

Factor

$$\frac{101}{2 \cdot 5} = 10\frac{1}{10} = 10.1$$