Solve 33/5-15/6

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

Evaluate

$$\frac{53}{30}\approx 1.766666667$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+3}{5}-\frac{1\times 6+5}{6}$$

Add 15 and 3 to get 18.

$$\frac{18}{5}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{18}{5}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{18}{5}-\frac{11}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{18}{5} and \frac{11}{6} to fractions with denominator 30.

$$\frac{108}{30}-\frac{55}{30}$$

Since \frac{108}{30} and \frac{55}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-55}{30}$$

Subtract 55 from 108 to get 53.

$$\frac{53}{30}$$

Factor

$$\frac{53}{2 \cdot 3 \cdot 5} = 1\frac{23}{30} = 1.7666666666666666$$