Solve 109/140+9/10

$$\frac { 109 } { 140 } + \frac { 9 } { 10 }$$

Evaluate

$$\frac{47}{28}\approx 1.678571429$$

Solution Steps

Least common multiple of 140 and 10 is 140. Convert \frac{109}{140} and \frac{9}{10} to fractions with denominator 140.

$$\frac{109}{140}+\frac{126}{140}$$

Since \frac{109}{140} and \frac{126}{140} have the same denominator, add them by adding their numerators.

$$\frac{109+126}{140}$$

Add 109 and 126 to get 235.

$$\frac{235}{140}$$

Reduce the fraction \frac{235}{140} to lowest terms by extracting and canceling out 5.

$$\frac{47}{28}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 7} = 1\frac{19}{28} = 1.6785714285714286$$