Solve 127/12-105/12

$$12 \frac { 7 } { 12 } - 10 \frac { 5 } { 12 }$$

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Multiply 12 and 12 to get 144.

$$\frac{144+7}{12}-\frac{10\times 12+5}{12}$$

Add 144 and 7 to get 151.

$$\frac{151}{12}-\frac{10\times 12+5}{12}$$

Multiply 10 and 12 to get 120.

$$\frac{151}{12}-\frac{120+5}{12}$$

Add 120 and 5 to get 125.

$$\frac{151}{12}-\frac{125}{12}$$

Since \frac{151}{12} and \frac{125}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{151-125}{12}$$

Subtract 125 from 151 to get 26.

$$\frac{26}{12}$$

Reduce the fraction \frac{26}{12} to lowest terms by extracting and canceling out 2.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$