Solve 51/2-21/12=

$$5 \frac { 1 } { 2 } - 2 \frac { 1 } { 12 } =$$

Evaluate

$$\frac{41}{12}\approx 3.416666667$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{2\times 12+1}{12}$$

Add 10 and 1 to get 11.

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

Multiply 2 and 12 to get 24.

$$\frac{11}{2}-\frac{24+1}{12}$$

Add 24 and 1 to get 25.

$$\frac{11}{2}-\frac{25}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{11}{2} and \frac{25}{12} to fractions with denominator 12.

$$\frac{66}{12}-\frac{25}{12}$$

Since \frac{66}{12} and \frac{25}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{66-25}{12}$$

Subtract 25 from 66 to get 41.

$$\frac{41}{12}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$$