Solve 31/2+23/5=

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

Evaluate

$$\frac{61}{10}=6.1$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{2\times 5+3}{5}$$

Add 6 and 1 to get 7.

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

Multiply 2 and 5 to get 10.

$$\frac{7}{2}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{7}{2}+\frac{13}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{13}{5} to fractions with denominator 10.

$$\frac{35}{10}+\frac{26}{10}$$

Since \frac{35}{10} and \frac{26}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+26}{10}$$

Add 35 and 26 to get 61.

$$\frac{61}{10}$$

Factor

$$\frac{61}{2 \cdot 5} = 6\frac{1}{10} = 6.1$$