Solve 3/5-27/3

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

Evaluate

$$-\frac{56}{15}\approx -3.733333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{3}{5}-\frac{6+7}{3}$$

Add 6 and 7 to get 13.

$$\frac{3}{5}-\frac{13}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{3}{5} and \frac{13}{3} to fractions with denominator 15.

$$\frac{9}{15}-\frac{65}{15}$$

Since \frac{9}{15} and \frac{65}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-65}{15}$$

Subtract 65 from 9 to get -56.

$$-\frac{56}{15}$$

Factor

$$-\frac{56}{15} = -3\frac{11}{15} = -3.7333333333333334$$