Solve 22/5+11/2+1/3=

$$2 \frac{ 2 }{ 5 } + \frac{ 11 }{ 2 } + \frac{ 1 }{ 3 } =$$

Evaluate

$$\frac{247}{30}\approx 8.233333333$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}+\frac{11}{2}+\frac{1}{3}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}+\frac{11}{2}+\frac{1}{3}$$

Least common multiple of 5 and 2 is 10. Convert \frac{12}{5} and \frac{11}{2} to fractions with denominator 10.

$$\frac{24}{10}+\frac{55}{10}+\frac{1}{3}$$

Since \frac{24}{10} and \frac{55}{10} have the same denominator, add them by adding their numerators.

$$\frac{24+55}{10}+\frac{1}{3}$$

Add 24 and 55 to get 79.

$$\frac{79}{10}+\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{79}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{237}{30}+\frac{10}{30}$$

Since \frac{237}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{237+10}{30}$$

Add 237 and 10 to get 247.

$$\frac{247}{30}$$

Factor

$$\frac{13 \cdot 19}{2 \cdot 3 \cdot 5} = 8\frac{7}{30} = 8.233333333333333$$