Solve 2/52+9/2

$$\frac{ 2 }{ 5 } 2+ \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{53}{10}=5.3$$

Solution Steps

Express \frac{2}{5}\times 2 as a single fraction.

$$\frac{2\times 2}{5}+\frac{9}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{5}+\frac{9}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{4}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{8}{10}+\frac{45}{10}$$

Since \frac{8}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{8+45}{10}$$

Add 8 and 45 to get 53.

$$\frac{53}{10}$$

Factor

$$\frac{53}{2 \cdot 5} = 5\frac{3}{10} = 5.3$$