Solve x+1/5-4/7

$$x + \frac { 1 } { 5 } - \frac { 4 } { 7 }$$

Evaluate

$$x = -\frac{13}{35} = -0.37142857142857144$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{1}{5} and \frac{4}{7} to fractions with denominator 35.

$$x+\frac{7}{35}-\frac{20}{35}$$

Since \frac{7}{35} and \frac{20}{35} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{7-20}{35}$$

Subtract 20 from 7 to get -13.

$$x-\frac{13}{35}$$

Factor

$$\frac{35x-13}{35}$$

Solution Steps

Factor out \frac{1}{35}.

$$\frac{35x-13}{35}$$

Consider 35x+7-20. Multiply and combine like terms.

$$35x-13$$

Rewrite the complete factored expression.

$$\frac{35x-13}{35}$$