Solve 23/5-11/15

$$2 \frac { 3 } { 5 } - \frac { 11 } { 15 }$$

Evaluate

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

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{11}{15}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{11}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{13}{5} and \frac{11}{15} to fractions with denominator 15.

$$\frac{39}{15}-\frac{11}{15}$$

Since \frac{39}{15} and \frac{11}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-11}{15}$$

Subtract 11 from 39 to get 28.

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

Factor

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