Solve 2/54+9/2

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

Evaluate

$$\frac{61}{10}=6.1$$

Solution Steps

Express \frac{2}{5}\times 4 as a single fraction.

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

Multiply 2 and 4 to get 8.

$$\frac{8}{5}+\frac{9}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{8}{5} and \frac{9}{2} to fractions with denominator 10.

$$\frac{16}{10}+\frac{45}{10}$$

Since \frac{16}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{16+45}{10}$$

Add 16 and 45 to get 61.

$$\frac{61}{10}$$

Factor

$$\frac{61}{2 \cdot 5} = 6\frac{1}{10} = 6.1$$