Solve 25/7+85/14

$$2 \frac { 5 } { 7 } + 8 \frac { 5 } { 14 }$$

Evaluate

$$\frac{155}{14}\approx 11.071428571$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+5}{7}+\frac{8\times 14+5}{14}$$

Add 14 and 5 to get 19.

$$\frac{19}{7}+\frac{8\times 14+5}{14}$$

Multiply 8 and 14 to get 112.

$$\frac{19}{7}+\frac{112+5}{14}$$

Add 112 and 5 to get 117.

$$\frac{19}{7}+\frac{117}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{19}{7} and \frac{117}{14} to fractions with denominator 14.

$$\frac{38}{14}+\frac{117}{14}$$

Since \frac{38}{14} and \frac{117}{14} have the same denominator, add them by adding their numerators.

$$\frac{38+117}{14}$$

Add 38 and 117 to get 155.

$$\frac{155}{14}$$

Factor

$$\frac{5 \cdot 31}{2 \cdot 7} = 11\frac{1}{14} = 11.071428571428571$$