Solve 114/17+68/8

$$11 \frac { 4 } { 17 } + \frac { 68 } { 8 }$$

Evaluate

$$\frac{671}{34}\approx 19.735294118$$

Solution Steps

Multiply 11 and 17 to get 187.

$$\frac{187+4}{17}+\frac{68}{8}$$

Add 187 and 4 to get 191.

$$\frac{191}{17}+\frac{68}{8}$$

Reduce the fraction \frac{68}{8} to lowest terms by extracting and canceling out 4.

$$\frac{191}{17}+\frac{17}{2}$$

Least common multiple of 17 and 2 is 34. Convert \frac{191}{17} and \frac{17}{2} to fractions with denominator 34.

$$\frac{382}{34}+\frac{289}{34}$$

Since \frac{382}{34} and \frac{289}{34} have the same denominator, add them by adding their numerators.

$$\frac{382+289}{34}$$

Add 382 and 289 to get 671.

$$\frac{671}{34}$$

Factor

$$\frac{11 \cdot 61}{2 \cdot 17} = 19\frac{25}{34} = 19.735294117647058$$