Solve 31/6-1-21/11

$$\frac{ 31 }{ 6 } -1- \frac{ 21 }{ 11 }$$

Evaluate

$$\frac{149}{66}\approx 2.257575758$$

Solution Steps

Convert 1 to fraction \frac{6}{6}.

$$\frac{31}{6}-\frac{6}{6}-\frac{21}{11}$$

Since \frac{31}{6} and \frac{6}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-6}{6}-\frac{21}{11}$$

Subtract 6 from 31 to get 25.

$$\frac{25}{6}-\frac{21}{11}$$

Least common multiple of 6 and 11 is 66. Convert \frac{25}{6} and \frac{21}{11} to fractions with denominator 66.

$$\frac{275}{66}-\frac{126}{66}$$

Since \frac{275}{66} and \frac{126}{66} have the same denominator, subtract them by subtracting their numerators.

$$\frac{275-126}{66}$$

Subtract 126 from 275 to get 149.

$$\frac{149}{66}$$

Factor

$$\frac{149}{2 \cdot 3 \cdot 11} = 2\frac{17}{66} = 2.257575757575758$$