Solve 12001/2-6557/12

$$1200 \frac { 1 } { 2 } - 655 \frac { 7 } { 12 }$$

Evaluate

$$\frac{6539}{12}\approx 544.916666667$$

Solution Steps

Multiply 1200 and 2 to get 2400.

$$\frac{2400+1}{2}-\frac{655\times 12+7}{12}$$

Add 2400 and 1 to get 2401.

$$\frac{2401}{2}-\frac{655\times 12+7}{12}$$

Multiply 655 and 12 to get 7860.

$$\frac{2401}{2}-\frac{7860+7}{12}$$

Add 7860 and 7 to get 7867.

$$\frac{2401}{2}-\frac{7867}{12}$$

Least common multiple of 2 and 12 is 12. Convert \frac{2401}{2} and \frac{7867}{12} to fractions with denominator 12.

$$\frac{14406}{12}-\frac{7867}{12}$$

Since \frac{14406}{12} and \frac{7867}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14406-7867}{12}$$

Subtract 7867 from 14406 to get 6539.

$$\frac{6539}{12}$$

Factor

$$\frac{13 \cdot 503}{2 ^ {2} \cdot 3} = 544\frac{11}{12} = 544.9166666666666$$