Solve 10/3+2/7-1/2

$$\frac{ 10 }{ 3 } + \frac{ 2 }{ 7 } - \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{131}{42}\approx 3.119047619$$

Solution Steps

Least common multiple of 3 and 7 is 21. Convert \frac{10}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{70}{21}+\frac{6}{21}-\frac{1}{2}$$

Since \frac{70}{21} and \frac{6}{21} have the same denominator, add them by adding their numerators.

$$\frac{70+6}{21}-\frac{1}{2}$$

Add 70 and 6 to get 76.

$$\frac{76}{21}-\frac{1}{2}$$

Least common multiple of 21 and 2 is 42. Convert \frac{76}{21} and \frac{1}{2} to fractions with denominator 42.

$$\frac{152}{42}-\frac{21}{42}$$

Since \frac{152}{42} and \frac{21}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{152-21}{42}$$

Subtract 21 from 152 to get 131.

$$\frac{131}{42}$$

Factor

$$\frac{131}{2 \cdot 3 \cdot 7} = 3\frac{5}{42} = 3.119047619047619$$