Solve 1/2+5/3-4/7

$$\frac{ 1 }{ 2 } + \frac{ 5 }{ 3 } - \frac{ 4 }{ 7 }$$

Evaluate

$$\frac{67}{42}\approx 1.595238095$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{10}{6}-\frac{4}{7}$$

Since \frac{3}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{6}-\frac{4}{7}$$

Add 3 and 10 to get 13.

$$\frac{13}{6}-\frac{4}{7}$$

Least common multiple of 6 and 7 is 42. Convert \frac{13}{6} and \frac{4}{7} to fractions with denominator 42.

$$\frac{91}{42}-\frac{24}{42}$$

Since \frac{91}{42} and \frac{24}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-24}{42}$$

Subtract 24 from 91 to get 67.

$$\frac{67}{42}$$

Factor

$$\frac{67}{2 \cdot 3 \cdot 7} = 1\frac{25}{42} = 1.5952380952380953$$