Solve 23/5-15/6

$$2 \frac { 3 } { 5 } - 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{23}{30}\approx 0.766666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}-\frac{1\times 6+5}{6}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{13}{5}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{13}{5}-\frac{11}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{13}{5} and \frac{11}{6} to fractions with denominator 30.

$$\frac{78}{30}-\frac{55}{30}$$

Since \frac{78}{30} and \frac{55}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{78-55}{30}$$

Subtract 55 from 78 to get 23.

$$\frac{23}{30}$$

Factor

$$\frac{23}{2 \cdot 3 \cdot 5} = 0.7666666666666667$$