Solve 71/2+23/5

$$7 \frac { 1 } { 2 } + 2 \frac { 3 } { 5 }$$

Evaluate

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

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}+\frac{2\times 5+3}{5}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{15}{2}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{15}{2}+\frac{13}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{15}{2} and \frac{13}{5} to fractions with denominator 10.

$$\frac{75}{10}+\frac{26}{10}$$

Since \frac{75}{10} and \frac{26}{10} have the same denominator, add them by adding their numerators.

$$\frac{75+26}{10}$$

Add 75 and 26 to get 101.

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

Factor

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