Solve 5/7+1/2-1

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

Evaluate

$$\frac{3}{14}\approx 0.214285714$$

Solution Steps

Least common multiple of 7 and 2 is 14. Convert \frac{5}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{10}{14}+\frac{7}{14}-1$$

Since \frac{10}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{14}-1$$

Add 10 and 7 to get 17.

$$\frac{17}{14}-1$$

Convert 1 to fraction \frac{14}{14}.

$$\frac{17}{14}-\frac{14}{14}$$

Since \frac{17}{14} and \frac{14}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-14}{14}$$

Subtract 14 from 17 to get 3.

$$\frac{3}{14}$$

Factor

$$\frac{3}{2 \cdot 7} = 0.21428571428571427$$