Solve 21/5-5/6=

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

Evaluate

$$\frac{41}{30}\approx 1.366666667$$

Solution Steps

Multiply 2 and 5 to get 10.

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

Add 10 and 1 to get 11.

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

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

$$\frac{66}{30}-\frac{25}{30}$$

Since \frac{66}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-25}{30}$$

Subtract 25 from 66 to get 41.

$$\frac{41}{30}$$

Factor

$$\frac{41}{2 \cdot 3 \cdot 5} = 1\frac{11}{30} = 1.3666666666666667$$