what is the sum of 2/9 and 5/18
Answer (1)
The sum of 2/9 and 5/18 is 1/2To add unlike fractions (fractions with different denominators), you need to multiply the fractions to the quotient of the denominator by the LCM (Least Common Multiple) In this case, the LCM is 18in [tex]\frac{2}{9}[/tex]18÷9=2 (so you multiply the whole fraction by 2)[tex]\frac{2}{9} =\frac{2\times2}{9\times2} =\frac{4}{18}[/tex]the fraction would now be 4/18in [tex]\frac{5}{18}[/tex]18÷18=1 (so you multiply the whole fraction by 1)Since, we multiply it by 1, the fraction would remain the sameNow, Just add the numerators and retain the denominator[tex]\frac{4}{18} + \frac{5}{18} = \frac{4+5}{18} =\frac{9}{18}[/tex]To simplify 9/18, divide both the numerator and the denominator by their GCF (Greatest Common Factor). In this case, the GCF is 9.[tex]\frac{9}{18} =\frac{9\div9}{18\div9} =\frac{1}{2}[/tex]Therefore, the sum of the given problem is 9/18 or 1/2
