Solve 52/3-11/5-21/3=

$$5 \frac { 2 } { 3 } - 1 \frac { 1 } { 5 } - 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{32}{15}\approx 2.133333333$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}-\frac{1\times 5+1}{5}-\frac{2\times 3+1}{3}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}-\frac{1\times 5+1}{5}-\frac{2\times 3+1}{3}$$

Multiply 1 and 5 to get 5.

$$\frac{17}{3}-\frac{5+1}{5}-\frac{2\times 3+1}{3}$$

Add 5 and 1 to get 6.

$$\frac{17}{3}-\frac{6}{5}-\frac{2\times 3+1}{3}$$

Least common multiple of 3 and 5 is 15. Convert \frac{17}{3} and \frac{6}{5} to fractions with denominator 15.

$$\frac{85}{15}-\frac{18}{15}-\frac{2\times 3+1}{3}$$

Since \frac{85}{15} and \frac{18}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-18}{15}-\frac{2\times 3+1}{3}$$

Subtract 18 from 85 to get 67.

$$\frac{67}{15}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{67}{15}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{67}{15}-\frac{7}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{67}{15} and \frac{7}{3} to fractions with denominator 15.

$$\frac{67}{15}-\frac{35}{15}$$

Since \frac{67}{15} and \frac{35}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-35}{15}$$

Subtract 35 from 67 to get 32.

$$\frac{32}{15}$$

Factor

$$\frac{2 ^ {5}}{3 \cdot 5} = 2\frac{2}{15} = 2.1333333333333333$$