Solve 212/3-2/5div3=

$$21 \frac { 2 } { 3 } - \frac { 2 } { 5 } \div 3 =$$

Evaluate

$$\frac{323}{15}\approx 21.533333333$$

Solution Steps

Multiply 21 and 3 to get 63.

$$\frac{63+2}{3}-\frac{\frac{2}{5}}{3}$$

Add 63 and 2 to get 65.

$$\frac{65}{3}-\frac{\frac{2}{5}}{3}$$

Express \frac{\frac{2}{5}}{3} as a single fraction.

$$\frac{65}{3}-\frac{2}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$\frac{65}{3}-\frac{2}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{65}{3} and \frac{2}{15} to fractions with denominator 15.

$$\frac{325}{15}-\frac{2}{15}$$

Since \frac{325}{15} and \frac{2}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{325-2}{15}$$

Subtract 2 from 325 to get 323.

$$\frac{323}{15}$$

Factor

$$\frac{17 \cdot 19}{3 \cdot 5} = 21\frac{8}{15} = 21.533333333333335$$