Solve 3/5-31/7

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

Evaluate

$$-\frac{89}{35}\approx -2.542857143$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{3}{5}-\frac{21+1}{7}$$

Add 21 and 1 to get 22.

$$\frac{3}{5}-\frac{22}{7}$$

Least common multiple of 5 and 7 is 35. Convert \frac{3}{5} and \frac{22}{7} to fractions with denominator 35.

$$\frac{21}{35}-\frac{110}{35}$$

Since \frac{21}{35} and \frac{110}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-110}{35}$$

Subtract 110 from 21 to get -89.

$$-\frac{89}{35}$$

Factor

$$-\frac{89}{35} = -2\frac{19}{35} = -2.5428571428571427$$