Solve 8/27+1/36

$$\frac { 8 } { 27 } + \frac { 1 } { 36 }$$

Evaluate

$$\frac{35}{108}\approx 0.324074074$$

Solution Steps

Least common multiple of 27 and 36 is 108. Convert \frac{8}{27} and \frac{1}{36} to fractions with denominator 108.

$$\frac{32}{108}+\frac{3}{108}$$

Since \frac{32}{108} and \frac{3}{108} have the same denominator, add them by adding their numerators.

$$\frac{32+3}{108}$$

Add 32 and 3 to get 35.

$$\frac{35}{108}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3 ^ {3}} = 0.32407407407407407$$