Solve 9/2-21/5+11/3=

$$\frac { 9 } { 2 } - \frac { 21 } { 5 } + \frac { 11 } { 3 } =$$

Evaluate

$$\frac{119}{30}\approx 3.966666667$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{9}{2} and \frac{21}{5} to fractions with denominator 10.

$$\frac{45}{10}-\frac{42}{10}+\frac{11}{3}$$

Since \frac{45}{10} and \frac{42}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-42}{10}+\frac{11}{3}$$

Subtract 42 from 45 to get 3.

$$\frac{3}{10}+\frac{11}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{3}{10} and \frac{11}{3} to fractions with denominator 30.

$$\frac{9}{30}+\frac{110}{30}$$

Since \frac{9}{30} and \frac{110}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+110}{30}$$

Add 9 and 110 to get 119.

$$\frac{119}{30}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 3 \cdot 5} = 3\frac{29}{30} = 3.966666666666667$$