Solve 51/12-5/6=

$$5 \frac { 1 } { 12 } - \frac { 5 } { 6 } =$$

Evaluate

$$\frac{17}{4}=4.25$$

Solution Steps

Multiply 5 and 12 to get 60.

$$\frac{60+1}{12}-\frac{5}{6}$$

Add 60 and 1 to get 61.

$$\frac{61}{12}-\frac{5}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{61}{12} and \frac{5}{6} to fractions with denominator 12.

$$\frac{61}{12}-\frac{10}{12}$$

Since \frac{61}{12} and \frac{10}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-10}{12}$$

Subtract 10 from 61 to get 51.

$$\frac{51}{12}$$

Reduce the fraction \frac{51}{12} to lowest terms by extracting and canceling out 3.

$$\frac{17}{4}$$

Factor

$$\frac{17}{2 ^ {2}} = 4\frac{1}{4} = 4.25$$