Solve 9/2-11/50

$$\frac { 9 } { 2 } - \frac { 11 } { 50 }$$

Evaluate

$$\frac{107}{25}=4.28$$

Solution Steps

Least common multiple of 2 and 50 is 50. Convert \frac{9}{2} and \frac{11}{50} to fractions with denominator 50.

$$\frac{225}{50}-\frac{11}{50}$$

Since \frac{225}{50} and \frac{11}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-11}{50}$$

Subtract 11 from 225 to get 214.

$$\frac{214}{50}$$

Reduce the fraction \frac{214}{50} to lowest terms by extracting and canceling out 2.

$$\frac{107}{25}$$

Factor

$$\frac{107}{5 ^ {2}} = 4\frac{7}{25} = 4.28$$