Solve 7/2+3/4-5/9=

$$\frac { 7 } { 2 } + \frac { 3 } { 4 } - \frac { 5 } { 9 } =$$

Evaluate

$$\frac{133}{36}\approx 3.694444444$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{3}{4}-\frac{5}{9}$$

Since \frac{14}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{4}-\frac{5}{9}$$

Add 14 and 3 to get 17.

$$\frac{17}{4}-\frac{5}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{17}{4} and \frac{5}{9} to fractions with denominator 36.

$$\frac{153}{36}-\frac{20}{36}$$

Since \frac{153}{36} and \frac{20}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-20}{36}$$

Subtract 20 from 153 to get 133.

$$\frac{133}{36}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 3\frac{25}{36} = 3.6944444444444446$$