Solve (13/2)+6.6+0.7+1

$$( 13 / 2 ) + 6.6 + 0.7 + 1$$

Evaluate

$$14.8$$

Solution Steps

Convert decimal number 6.6 to fraction \frac{66}{10}. Reduce the fraction \frac{66}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{2}+\frac{33}{5}+0.7+1$$

Least common multiple of 2 and 5 is 10. Convert \frac{13}{2} and \frac{33}{5} to fractions with denominator 10.

$$\frac{65}{10}+\frac{66}{10}+0.7+1$$

Since \frac{65}{10} and \frac{66}{10} have the same denominator, add them by adding their numerators.

$$\frac{65+66}{10}+0.7+1$$

Add 65 and 66 to get 131.

$$\frac{131}{10}+0.7+1$$

Convert decimal number 0.7 to fraction \frac{7}{10}.

$$\frac{131}{10}+\frac{7}{10}+1$$

Since \frac{131}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{131+7}{10}+1$$

Add 131 and 7 to get 138.

$$\frac{138}{10}+1$$

Reduce the fraction \frac{138}{10} to lowest terms by extracting and canceling out 2.

$$\frac{69}{5}+1$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{69}{5}+\frac{5}{5}$$

Since \frac{69}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$\frac{69+5}{5}$$

Add 69 and 5 to get 74.

$$\frac{74}{5}$$

Factor

$$\frac{2 \cdot 37}{5} = 14\frac{4}{5} = 14.8$$