Solve {r}{66/7}{+23/14}

$$\left. \begin{array} { r } { 6 \frac { 6 } { 7 } } \\ { + 2 \frac { 3 } { 14 } } \end{array} \right.$$

Evaluate

$$\frac{127}{14}\approx 9.071428571$$

Solution Steps

Multiply 6 and 7 to get 42.

$$\frac{42+6}{7}+\frac{2\times 14+3}{14}$$

Add 42 and 6 to get 48.

$$\frac{48}{7}+\frac{2\times 14+3}{14}$$

Multiply 2 and 14 to get 28.

$$\frac{48}{7}+\frac{28+3}{14}$$

Add 28 and 3 to get 31.

$$\frac{48}{7}+\frac{31}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{48}{7} and \frac{31}{14} to fractions with denominator 14.

$$\frac{96}{14}+\frac{31}{14}$$

Since \frac{96}{14} and \frac{31}{14} have the same denominator, add them by adding their numerators.

$$\frac{96+31}{14}$$

Add 96 and 31 to get 127.

$$\frac{127}{14}$$

Factor

$$\frac{127}{2 \cdot 7} = 9\frac{1}{14} = 9.071428571428571$$