Solve 411/4+511/5

$$41 \frac { 1 } { 4 } + 51 \frac { 1 } { 5 }$$

Evaluate

$$\frac{1849}{20}=92.45$$

Solution Steps

Multiply 41 and 4 to get 164.

$$\frac{164+1}{4}+\frac{51\times 5+1}{5}$$

Add 164 and 1 to get 165.

$$\frac{165}{4}+\frac{51\times 5+1}{5}$$

Multiply 51 and 5 to get 255.

$$\frac{165}{4}+\frac{255+1}{5}$$

Add 255 and 1 to get 256.

$$\frac{165}{4}+\frac{256}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{165}{4} and \frac{256}{5} to fractions with denominator 20.

$$\frac{825}{20}+\frac{1024}{20}$$

Since \frac{825}{20} and \frac{1024}{20} have the same denominator, add them by adding their numerators.

$$\frac{825+1024}{20}$$

Add 825 and 1024 to get 1849.

$$\frac{1849}{20}$$

Factor

$$\frac{43 ^ {2}}{2 ^ {2} \cdot 5} = 92\frac{9}{20} = 92.45$$