Solve 51/12-32/34

$$5 \frac { 1 } { 12 } - 3 \frac { 2 } { 34 }$$

Evaluate

$$\frac{413}{204}\approx 2.024509804$$

Solution Steps

Multiply 5 and 12 to get 60.

$$\frac{60+1}{12}-\frac{3\times 34+2}{34}$$

Add 60 and 1 to get 61.

$$\frac{61}{12}-\frac{3\times 34+2}{34}$$

Multiply 3 and 34 to get 102.

$$\frac{61}{12}-\frac{102+2}{34}$$

Add 102 and 2 to get 104.

$$\frac{61}{12}-\frac{104}{34}$$

Reduce the fraction \frac{104}{34} to lowest terms by extracting and canceling out 2.

$$\frac{61}{12}-\frac{52}{17}$$

Least common multiple of 12 and 17 is 204. Convert \frac{61}{12} and \frac{52}{17} to fractions with denominator 204.

$$\frac{1037}{204}-\frac{624}{204}$$

Since \frac{1037}{204} and \frac{624}{204} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1037-624}{204}$$

Subtract 624 from 1037 to get 413.

$$\frac{413}{204}$$

Factor

$$\frac{7 \cdot 59}{2 ^ {2} \cdot 3 \cdot 17} = 2\frac{5}{204} = 2.0245098039215685$$