Solve 2-1/3+3/7

$$2 - \frac { 1 } { 3 } + \frac { 3 } { 7 }$$

Evaluate

$$\frac{44}{21}\approx 2.095238095$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{1}{3}+\frac{3}{7}$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{3}+\frac{3}{7}$$

Subtract 1 from 6 to get 5.

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

Least common multiple of 3 and 7 is 21. Convert \frac{5}{3} and \frac{3}{7} to fractions with denominator 21.

$$\frac{35}{21}+\frac{9}{21}$$

Since \frac{35}{21} and \frac{9}{21} have the same denominator, add them by adding their numerators.

$$\frac{35+9}{21}$$

Add 35 and 9 to get 44.

$$\frac{44}{21}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 7} = 2\frac{2}{21} = 2.0952380952380953$$