Solve 31/2+12/5

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

Evaluate

$$\frac{49}{10}=4.9$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 2 to get 7.

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

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

$$\frac{35}{10}+\frac{14}{10}$$

Since \frac{35}{10} and \frac{14}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+14}{10}$$

Add 35 and 14 to get 49.

$$\frac{49}{10}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 5} = 4\frac{9}{10} = 4.9$$