Solve 1/10+10/3

$$\frac { 1 } { 10 } + \frac { 10 } { 3 }$$

Evaluate

$$\frac{103}{30}\approx 3.433333333$$

Solution Steps

Least common multiple of 10 and 3 is 30. Convert \frac{1}{10} and \frac{10}{3} to fractions with denominator 30.

$$\frac{3}{30}+\frac{100}{30}$$

Since \frac{3}{30} and \frac{100}{30} have the same denominator, add them by adding their numerators.

$$\frac{3+100}{30}$$

Add 3 and 100 to get 103.

$$\frac{103}{30}$$

Factor

$$\frac{103}{2 \cdot 3 \cdot 5} = 3\frac{13}{30} = 3.433333333333333$$