Solve 67/111+2/33-15/117

$$\frac { 67 } { 111 } + \frac { 2 } { 33 } - \frac { 15 } { 117 }$$

Evaluate

$$\frac{2836}{5291}\approx 0.536004536$$

Solution Steps

Least common multiple of 111 and 33 is 1221. Convert \frac{67}{111} and \frac{2}{33} to fractions with denominator 1221.

$$\frac{737}{1221}+\frac{74}{1221}-\frac{15}{117}$$

Since \frac{737}{1221} and \frac{74}{1221} have the same denominator, add them by adding their numerators.

$$\frac{737+74}{1221}-\frac{15}{117}$$

Add 737 and 74 to get 811.

$$\frac{811}{1221}-\frac{15}{117}$$

Reduce the fraction \frac{15}{117} to lowest terms by extracting and canceling out 3.

$$\frac{811}{1221}-\frac{5}{39}$$

Least common multiple of 1221 and 39 is 15873. Convert \frac{811}{1221} and \frac{5}{39} to fractions with denominator 15873.

$$\frac{10543}{15873}-\frac{2035}{15873}$$

Since \frac{10543}{15873} and \frac{2035}{15873} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10543-2035}{15873}$$

Subtract 2035 from 10543 to get 8508.

$$\frac{8508}{15873}$$

Reduce the fraction \frac{8508}{15873} to lowest terms by extracting and canceling out 3.

$$\frac{2836}{5291}$$

Factor

$$\frac{2 ^ {2} \cdot 709}{11 \cdot 13 \cdot 37} = 0.536004536004536$$