Solve 7/11+6.5+3.5

$$\frac { 7 } { 11 } + 6.5 + 3.5$$

Evaluate

$$\frac{117}{11}\approx 10.636363636$$

Solution Steps

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{11}+\frac{13}{2}+3.5$$

Least common multiple of 11 and 2 is 22. Convert \frac{7}{11} and \frac{13}{2} to fractions with denominator 22.

$$\frac{14}{22}+\frac{143}{22}+3.5$$

Since \frac{14}{22} and \frac{143}{22} have the same denominator, add them by adding their numerators.

$$\frac{14+143}{22}+3.5$$

Add 14 and 143 to get 157.

$$\frac{157}{22}+3.5$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{157}{22}+\frac{7}{2}$$

Least common multiple of 22 and 2 is 22. Convert \frac{157}{22} and \frac{7}{2} to fractions with denominator 22.

$$\frac{157}{22}+\frac{77}{22}$$

Since \frac{157}{22} and \frac{77}{22} have the same denominator, add them by adding their numerators.

$$\frac{157+77}{22}$$

Add 157 and 77 to get 234.

$$\frac{234}{22}$$

Reduce the fraction \frac{234}{22} to lowest terms by extracting and canceling out 2.

$$\frac{117}{11}$$

Factor

$$\frac{13 \cdot 3 ^ {2}}{11} = 10\frac{7}{11} = 10.636363636363637$$