Solve 22/5-22/3=

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

Evaluate

$$-\frac{4}{15}\approx -0.266666667$$

Solution Steps

Multiply 2 and 5 to get 10.

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

Add 10 and 2 to get 12.

$$\frac{12}{5}-\frac{2\times 3+2}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{12}{5}-\frac{6+2}{3}$$

Add 6 and 2 to get 8.

$$\frac{12}{5}-\frac{8}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{12}{5} and \frac{8}{3} to fractions with denominator 15.

$$\frac{36}{15}-\frac{40}{15}$$

Since \frac{36}{15} and \frac{40}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-40}{15}$$

Subtract 40 from 36 to get -4.

$$-\frac{4}{15}$$

Factor

$$-\frac{4}{15} = -0.26666666666666666$$