Solve 2-5/6-2/5=

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

Evaluate

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

Solution Steps

Convert 2 to fraction \frac{12}{6}.

$$\frac{12}{6}-\frac{5}{6}-\frac{2}{5}$$

Since \frac{12}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-5}{6}-\frac{2}{5}$$

Subtract 5 from 12 to get 7.

$$\frac{7}{6}-\frac{2}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{7}{6} and \frac{2}{5} to fractions with denominator 30.

$$\frac{35}{30}-\frac{12}{30}$$

Since \frac{35}{30} and \frac{12}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{30}$$

Subtract 12 from 35 to get 23.

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

Factor

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