Solve 2/7+4/3-8/21

$$\frac { 2 } { 7 } + \frac { 4 } { 3 } - \frac { 8 } { 21 }$$

Evaluate

$$\frac{26}{21}\approx 1.238095238$$

Solution Steps

Least common multiple of 7 and 3 is 21. Convert \frac{2}{7} and \frac{4}{3} to fractions with denominator 21.

$$\frac{6}{21}+\frac{28}{21}-\frac{8}{21}$$

Since \frac{6}{21} and \frac{28}{21} have the same denominator, add them by adding their numerators.

$$\frac{6+28}{21}-\frac{8}{21}$$

Add 6 and 28 to get 34.

$$\frac{34}{21}-\frac{8}{21}$$

Since \frac{34}{21} and \frac{8}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{34-8}{21}$$

Subtract 8 from 34 to get 26.

$$\frac{26}{21}$$

Factor

$$\frac{2 \cdot 13}{3 \cdot 7} = 1\frac{5}{21} = 1.2380952380952381$$