Solve 63/12-34/12

$$6 \frac { 3 } { 12 } - 3 \frac { 4 } { 12 }$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Multiply 6 and 12 to get 72.

$$\frac{72+3}{12}-\frac{3\times 12+4}{12}$$

Add 72 and 3 to get 75.

$$\frac{75}{12}-\frac{3\times 12+4}{12}$$

Reduce the fraction \frac{75}{12} to lowest terms by extracting and canceling out 3.

$$\frac{25}{4}-\frac{3\times 12+4}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{25}{4}-\frac{36+4}{12}$$

Add 36 and 4 to get 40.

$$\frac{25}{4}-\frac{40}{12}$$

Reduce the fraction \frac{40}{12} to lowest terms by extracting and canceling out 4.

$$\frac{25}{4}-\frac{10}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{25}{4} and \frac{10}{3} to fractions with denominator 12.

$$\frac{75}{12}-\frac{40}{12}$$

Since \frac{75}{12} and \frac{40}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-40}{12}$$

Subtract 40 from 75 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$