Solve 34/5+27/10

$$3 \frac { 4 } { 5 } + 2 \frac { 7 } { 10 }$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}+\frac{2\times 10+7}{10}$$

Add 15 and 4 to get 19.

$$\frac{19}{5}+\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{19}{5}+\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$\frac{19}{5}+\frac{27}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{19}{5} and \frac{27}{10} to fractions with denominator 10.

$$\frac{38}{10}+\frac{27}{10}$$

Since \frac{38}{10} and \frac{27}{10} have the same denominator, add them by adding their numerators.

$$\frac{38+27}{10}$$

Add 38 and 27 to get 65.

$$\frac{65}{10}$$

Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$