pugs56
8

# what is the sum of 1/9, 2/3, and 5/18

$\dfrac{1}{9}$ List the multiples of 9:1, 9, 18, 27, 36, ... $\dfrac{2}{3}$ List the multiples of 3: 1, 3, 6, 9, 12, 15, 18, 21, 24, ... $\dfrac{5}{18}$ List the multiples of 18: 1, 18, 36, 54, ... $\dfrac{1}{9}=\dfrac{1\cdot2}{9\cdot2}=\dfrac{2}{18}$ $\dfrac{2}{3}=\dfrac{2\cdot6}{3\cdot6}=\dfrac{12}{18}$ $\dfrac{5}{18}=\dfrac{5}{18}$ $\dfrac{1}{9}+\dfrac{2}{3}+\dfrac{5}{18}=\dfrac{2}{18}+\dfrac{12}{18}+\dfrac{5}{18}=\dfrac{2+12+5}{18}=\dfrac{19}{18}=\dfrac{18+1}{18}=1\dfrac{1}{18}$