Solve 7/24+5/36

$$\frac { 7 } { 24 } + \frac { 5 } { 36 }$$

Evaluate

$$\frac{31}{72}\approx 0.430555556$$

Solution Steps

Least common multiple of 24 and 36 is 72. Convert \frac{7}{24} and \frac{5}{36} to fractions with denominator 72.

$$\frac{21}{72}+\frac{10}{72}$$

Since \frac{21}{72} and \frac{10}{72} have the same denominator, add them by adding their numerators.

$$\frac{21+10}{72}$$

Add 21 and 10 to get 31.

$$\frac{31}{72}$$

Factor

$$\frac{31}{2 ^ {3} \cdot 3 ^ {2}} = 0.4305555555555556$$