Solve 29/4-145/36

$$\frac { 29 } { 4 } - \frac { 145 } { 36 }$$

Evaluate

$$\frac{29}{9}\approx 3.222222222$$

Solution Steps

Least common multiple of 4 and 36 is 36. Convert \frac{29}{4} and \frac{145}{36} to fractions with denominator 36.

$$\frac{261}{36}-\frac{145}{36}$$

Since \frac{261}{36} and \frac{145}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{261-145}{36}$$

Subtract 145 from 261 to get 116.

$$\frac{116}{36}$$

Reduce the fraction \frac{116}{36} to lowest terms by extracting and canceling out 4.

$$\frac{29}{9}$$

Factor

$$\frac{29}{3 ^ {2}} = 3\frac{2}{9} = 3.2222222222222223$$