Solve 61/4+94/5

$$6 \frac{ 1 }{ 4 } +9 \frac{ 4 }{ 5 }$$

Evaluate

$$\frac{321}{20}=16.05$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+1}{4}+\frac{9\times 5+4}{5}$$

Add 24 and 1 to get 25.

$$\frac{25}{4}+\frac{9\times 5+4}{5}$$

Multiply 9 and 5 to get 45.

$$\frac{25}{4}+\frac{45+4}{5}$$

Add 45 and 4 to get 49.

$$\frac{25}{4}+\frac{49}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{25}{4} and \frac{49}{5} to fractions with denominator 20.

$$\frac{125}{20}+\frac{196}{20}$$

Since \frac{125}{20} and \frac{196}{20} have the same denominator, add them by adding their numerators.

$$\frac{125+196}{20}$$

Add 125 and 196 to get 321.

$$\frac{321}{20}$$

Factor

$$\frac{3 \cdot 107}{2 ^ {2} \cdot 5} = 16\frac{1}{20} = 16.05$$