Solve 41/2+53/5

$$4 \frac { 1 } { 2 } + 5 \frac { 3 } { 5 }$$

Evaluate

$$\frac{101}{10}=10.1$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}+\frac{5\times 5+3}{5}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}+\frac{5\times 5+3}{5}$$

Multiply 5 and 5 to get 25.

$$\frac{9}{2}+\frac{25+3}{5}$$

Add 25 and 3 to get 28.

$$\frac{9}{2}+\frac{28}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{9}{2} and \frac{28}{5} to fractions with denominator 10.

$$\frac{45}{10}+\frac{56}{10}$$

Since \frac{45}{10} and \frac{56}{10} have the same denominator, add them by adding their numerators.

$$\frac{45+56}{10}$$

Add 45 and 56 to get 101.

$$\frac{101}{10}$$

Factor

$$\frac{101}{2 \cdot 5} = 10\frac{1}{10} = 10.1$$