Solve 22/3-quad4/5

$$2 \frac { 2 } { 3 } - \quad \frac { 4 } { 5 }$$

Evaluate

$$\frac{28}{15}\approx 1.866666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}-\frac{4}{5}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}-\frac{4}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{8}{3} and \frac{4}{5} to fractions with denominator 15.

$$\frac{40}{15}-\frac{12}{15}$$

Since \frac{40}{15} and \frac{12}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-12}{15}$$

Subtract 12 from 40 to get 28.

$$\frac{28}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 \cdot 5} = 1\frac{13}{15} = 1.8666666666666667$$