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

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

Evaluate

$$\frac{33}{70}\approx 0.471428571$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.

$$\frac{5}{10}-\frac{6}{10}+\frac{4}{7}$$

Since \frac{5}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-6}{10}+\frac{4}{7}$$

Subtract 6 from 5 to get -1.

$$-\frac{1}{10}+\frac{4}{7}$$

Least common multiple of 10 and 7 is 70. Convert -\frac{1}{10} and \frac{4}{7} to fractions with denominator 70.

$$-\frac{7}{70}+\frac{40}{70}$$

Since -\frac{7}{70} and \frac{40}{70} have the same denominator, add them by adding their numerators.

$$\frac{-7+40}{70}$$

Add -7 and 40 to get 33.

$$\frac{33}{70}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5 \cdot 7} = 0.4714285714285714$$