Solve 26/21-2/7-1/3

$$\frac { 26 } { 21 } - \frac { 2 } { 7 } - \frac { 1 } { 3 }$$

Evaluate

$$\frac{13}{21}\approx 0.619047619$$

Solution Steps

Least common multiple of 21 and 7 is 21. Convert \frac{26}{21} and \frac{2}{7} to fractions with denominator 21.

$$\frac{26}{21}-\frac{6}{21}-\frac{1}{3}$$

Since \frac{26}{21} and \frac{6}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-6}{21}-\frac{1}{3}$$

Subtract 6 from 26 to get 20.

$$\frac{20}{21}-\frac{1}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{20}{21} and \frac{1}{3} to fractions with denominator 21.

$$\frac{20}{21}-\frac{7}{21}$$

Since \frac{20}{21} and \frac{7}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-7}{21}$$

Subtract 7 from 20 to get 13.

$$\frac{13}{21}$$

Factor

$$\frac{13}{3 \cdot 7} = 0.6190476190476191$$