Solve 23/24+13/18

$$\frac { 23 } { 24 } + \frac { 13 } { 18 }$$

Evaluate

$$\frac{121}{72}\approx 1.680555556$$

Solution Steps

Least common multiple of 24 and 18 is 72. Convert \frac{23}{24} and \frac{13}{18} to fractions with denominator 72.

$$\frac{69}{72}+\frac{52}{72}$$

Since \frac{69}{72} and \frac{52}{72} have the same denominator, add them by adding their numerators.

$$\frac{69+52}{72}$$

Add 69 and 52 to get 121.

$$\frac{121}{72}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{49}{72} = 1.6805555555555556$$