Solve 23/5-11/15=

$$2 \frac { 3 } { 5 } - 1 \frac { 1 } { 15 } =$$

Evaluate

$$\frac{23}{15}\approx 1.533333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{1\times 15+1}{15}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{1\times 15+1}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{13}{5}-\frac{15+1}{15}$$

Add 15 and 1 to get 16.

$$\frac{13}{5}-\frac{16}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{13}{5} and \frac{16}{15} to fractions with denominator 15.

$$\frac{39}{15}-\frac{16}{15}$$

Since \frac{39}{15} and \frac{16}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-16}{15}$$

Subtract 16 from 39 to get 23.

$$\frac{23}{15}$$

Factor

$$\frac{23}{3 \cdot 5} = 1\frac{8}{15} = 1.5333333333333334$$