Solve 311/12-21/2=

$$3 \frac { 11 } { 12 } - 2 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+11}{12}-\frac{2\times 2+1}{2}$$

Add 36 and 11 to get 47.

$$\frac{47}{12}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{47}{12}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{47}{12}-\frac{5}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{47}{12} and \frac{5}{2} to fractions with denominator 12.

$$\frac{47}{12}-\frac{30}{12}$$

Since \frac{47}{12} and \frac{30}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-30}{12}$$

Subtract 30 from 47 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$