Solve 17/14+210/18

$$\frac { 17 } { 14 } + 2 \frac { 10 } { 18 }$$

Evaluate

$$\frac{475}{126}\approx 3.76984127$$

Solution Steps

Multiply 2 and 18 to get 36.

$$\frac{17}{14}+\frac{36+10}{18}$$

Add 36 and 10 to get 46.

$$\frac{17}{14}+\frac{46}{18}$$

Reduce the fraction \frac{46}{18} to lowest terms by extracting and canceling out 2.

$$\frac{17}{14}+\frac{23}{9}$$

Least common multiple of 14 and 9 is 126. Convert \frac{17}{14} and \frac{23}{9} to fractions with denominator 126.

$$\frac{153}{126}+\frac{322}{126}$$

Since \frac{153}{126} and \frac{322}{126} have the same denominator, add them by adding their numerators.

$$\frac{153+322}{126}$$

Add 153 and 322 to get 475.

$$\frac{475}{126}$$

Factor

$$\frac{5 ^ {2} \cdot 19}{2 \cdot 3 ^ {2} \cdot 7} = 3\frac{97}{126} = 3.7698412698412698$$