Solve 5-1/10+1/3

$$5 - \frac { 1 } { 10 } + \frac { 1 } { 3 }$$

Evaluate

$$\frac{157}{30}\approx 5.233333333$$

Solution Steps

Convert 5 to fraction \frac{50}{10}.

$$\frac{50}{10}-\frac{1}{10}+\frac{1}{3}$$

Since \frac{50}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-1}{10}+\frac{1}{3}$$

Subtract 1 from 50 to get 49.

$$\frac{49}{10}+\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{49}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{147}{30}+\frac{10}{30}$$

Since \frac{147}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{147+10}{30}$$

Add 147 and 10 to get 157.

$$\frac{157}{30}$$

Factor

$$\frac{157}{2 \cdot 3 \cdot 5} = 5\frac{7}{30} = 5.233333333333333$$