Solve 5/12+9/11-12/10

$$\frac { 5 } { 12 } + \frac { 9 } { 11 } - \frac { 12 } { 10 }$$

Evaluate

$$\frac{23}{660}\approx 0.034848485$$

Solution Steps

Least common multiple of 12 and 11 is 132. Convert \frac{5}{12} and \frac{9}{11} to fractions with denominator 132.

$$\frac{55}{132}+\frac{108}{132}-\frac{12}{10}$$

Since \frac{55}{132} and \frac{108}{132} have the same denominator, add them by adding their numerators.

$$\frac{55+108}{132}-\frac{12}{10}$$

Add 55 and 108 to get 163.

$$\frac{163}{132}-\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{163}{132}-\frac{6}{5}$$

Least common multiple of 132 and 5 is 660. Convert \frac{163}{132} and \frac{6}{5} to fractions with denominator 660.

$$\frac{815}{660}-\frac{792}{660}$$

Since \frac{815}{660} and \frac{792}{660} have the same denominator, subtract them by subtracting their numerators.

$$\frac{815-792}{660}$$

Subtract 792 from 815 to get 23.

$$\frac{23}{660}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3 \cdot 5 \cdot 11} = 0.03484848484848485$$