Solve 3/5-2+1/7

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

Evaluate

$$-\frac{44}{35}\approx -1.257142857$$

Solution Steps

Convert 2 to fraction \frac{10}{5}.

$$\frac{3}{5}-\frac{10}{5}+\frac{1}{7}$$

Since \frac{3}{5} and \frac{10}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-10}{5}+\frac{1}{7}$$

Subtract 10 from 3 to get -7.

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

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

$$-\frac{49}{35}+\frac{5}{35}$$

Since -\frac{49}{35} and \frac{5}{35} have the same denominator, add them by adding their numerators.

$$\frac{-49+5}{35}$$

Add -49 and 5 to get -44.

$$-\frac{44}{35}$$

Factor

$$-\frac{44}{35} = -1\frac{9}{35} = -1.2571428571428571$$