Solve 5-1/3+3/7

$$5 - \frac { 1 } { 3 } + \frac { 3 } { 7 }$$

Evaluate

$$\frac{107}{21}\approx 5.095238095$$

Solution Steps

Convert 5 to fraction \frac{15}{3}.

$$\frac{15}{3}-\frac{1}{3}+\frac{3}{7}$$

Since \frac{15}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-1}{3}+\frac{3}{7}$$

Subtract 1 from 15 to get 14.

$$\frac{14}{3}+\frac{3}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{14}{3} and \frac{3}{7} to fractions with denominator 21.

$$\frac{98}{21}+\frac{9}{21}$$

Since \frac{98}{21} and \frac{9}{21} have the same denominator, add them by adding their numerators.

$$\frac{98+9}{21}$$

Add 98 and 9 to get 107.

$$\frac{107}{21}$$

Factor

$$\frac{107}{3 \cdot 7} = 5\frac{2}{21} = 5.095238095238095$$