Solve 23/5-52/3

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

Evaluate

$$-\frac{46}{15}\approx -3.066666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{5\times 3+2}{3}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{13}{5}-\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{13}{5}-\frac{17}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{13}{5} and \frac{17}{3} to fractions with denominator 15.

$$\frac{39}{15}-\frac{85}{15}$$

Since \frac{39}{15} and \frac{85}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-85}{15}$$

Subtract 85 from 39 to get -46.

$$-\frac{46}{15}$$

Factor

$$-\frac{46}{15} = -3\frac{1}{15} = -3.066666666666667$$