Solve 51/12-313/18

$$5 \frac { 1 } { 12 } - 3 \frac { 13 } { 18 }$$

Evaluate

$$\frac{49}{36}\approx 1.361111111$$

Solution Steps

Multiply 5 and 12 to get 60.

$$\frac{60+1}{12}-\frac{3\times 18+13}{18}$$

Add 60 and 1 to get 61.

$$\frac{61}{12}-\frac{3\times 18+13}{18}$$

Multiply 3 and 18 to get 54.

$$\frac{61}{12}-\frac{54+13}{18}$$

Add 54 and 13 to get 67.

$$\frac{61}{12}-\frac{67}{18}$$

Least common multiple of 12 and 18 is 36. Convert \frac{61}{12} and \frac{67}{18} to fractions with denominator 36.

$$\frac{183}{36}-\frac{134}{36}$$

Since \frac{183}{36} and \frac{134}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{183-134}{36}$$

Subtract 134 from 183 to get 49.

$$\frac{49}{36}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {2} \cdot 3 ^ {2}} = 1\frac{13}{36} = 1.3611111111111112$$