Solve 231/2+94/5

$$23 \frac { 1 } { 2 } + 9 \frac { 4 } { 5 }$$

Evaluate

$$\frac{333}{10}=33.3$$

Solution Steps

Multiply 23 and 2 to get 46.

$$\frac{46+1}{2}+\frac{9\times 5+4}{5}$$

Add 46 and 1 to get 47.

$$\frac{47}{2}+\frac{9\times 5+4}{5}$$

Multiply 9 and 5 to get 45.

$$\frac{47}{2}+\frac{45+4}{5}$$

Add 45 and 4 to get 49.

$$\frac{47}{2}+\frac{49}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{47}{2} and \frac{49}{5} to fractions with denominator 10.

$$\frac{235}{10}+\frac{98}{10}$$

Since \frac{235}{10} and \frac{98}{10} have the same denominator, add them by adding their numerators.

$$\frac{235+98}{10}$$

Add 235 and 98 to get 333.

$$\frac{333}{10}$$

Factor

$$\frac{3 ^ {2} \cdot 37}{2 \cdot 5} = 33\frac{3}{10} = 33.3$$