Solve 35/2-35/18

$$\frac { 35 } { 2 } - \frac { 35 } { 18 }$$

Evaluate

$$\frac{140}{9}\approx 15.555555556$$

Solution Steps

Least common multiple of 2 and 18 is 18. Convert \frac{35}{2} and \frac{35}{18} to fractions with denominator 18.

$$\frac{315}{18}-\frac{35}{18}$$

Since \frac{315}{18} and \frac{35}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{315-35}{18}$$

Subtract 35 from 315 to get 280.

$$\frac{280}{18}$$

Reduce the fraction \frac{280}{18} to lowest terms by extracting and canceling out 2.

$$\frac{140}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7}{3 ^ {2}} = 15\frac{5}{9} = 15.555555555555555$$