Riley345234
9

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

$\frac{1}{9} + \frac{2}{3} + \frac{5}{18} = \frac{1 \times 2}{9 \times 2} + \frac{2 \times 6}{3 \times 6}+\frac{5}{18}=\frac{2}{18}+\frac{12}{18}+\frac{5}{18}=\frac{19}{18}=\boxed{1 \frac{1}{18}}$
Question: $What\ is\ \frac19+\frac23+\frac5{18}?$ To add/subtract fractions, they must have the same denominator. (bottom number) Let's find an LCD (least common denominator) to change our fractions to. This is done by findind the LCM (least common multiple) of our denominators. List their multiples until you find one that all three share. multiples of 3: 3, 6, 9, 12, 15, 18... multiples of 9: 9, 18, 27, 36... multiples of 18: 18, 36, 54... Now, if you multiply/divide the top and bottom of a fraction by the same number, it will stay the same. (for example, 1/2 = 2/4 = 3/6 = 4/8) We can convert our fractions to have this denominator of 18. 1/9 = 2/18 (bottom multiples by 2, top multiplies by 2) 2/3 = 12/18 (bottom multiplies by 6, top multiplies by 6) 5/18 = 5/18 (duh) Now we just add up our numerators. Convert to a mixed number, and done! $\frac2{18}+\frac{12}{18}+\frac5{18}=\frac{2+12+5}{18}=\frac{19}{18}=\boxed{1\frac1{18}}$