Solve 31/5-11/6

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

Evaluate

$$\frac{61}{30}\approx 2.033333333$$

Solution Steps

Multiply 3 and 5 to get 15.

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

Add 15 and 1 to get 16.

$$\frac{16}{5}-\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{16}{5}-\frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{16}{5}-\frac{7}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{16}{5} and \frac{7}{6} to fractions with denominator 30.

$$\frac{96}{30}-\frac{35}{30}$$

Since \frac{96}{30} and \frac{35}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-35}{30}$$

Subtract 35 from 96 to get 61.

$$\frac{61}{30}$$

Factor

$$\frac{61}{2 \cdot 3 \cdot 5} = 2\frac{1}{30} = 2.033333333333333$$