Solve 31/2+2/10

$$3 \frac { 1 } { 2 } + \frac { 2 } { 10 }$$

Evaluate

$$\frac{37}{10}=3.7$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{2}{10}$$

Add 6 and 1 to get 7.

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

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{35}{10}+\frac{2}{10}$$

Since \frac{35}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+2}{10}$$

Add 35 and 2 to get 37.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$