Solve 10/5+2/7-1/2

$$\frac{ 10 }{ 5 } + \frac{ 2 }{ 7 } - \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{25}{14}\approx 1.785714286$$

Solution Steps

Divide 10 by 5 to get 2.

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

Convert 2 to fraction \frac{14}{7}.

$$\frac{14}{7}+\frac{2}{7}-\frac{1}{2}$$

Since \frac{14}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.

$$\frac{14+2}{7}-\frac{1}{2}$$

Add 14 and 2 to get 16.

$$\frac{16}{7}-\frac{1}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{16}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{32}{14}-\frac{7}{14}$$

Since \frac{32}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-7}{14}$$

Subtract 7 from 32 to get 25.

$$\frac{25}{14}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 7} = 1\frac{11}{14} = 1.7857142857142858$$