Answer:
[tex]1\frac{5}{6}[/tex]
Step-by-step explanation:
we have
[tex]5\frac{1}{3}+(-3\frac{9}{18})[/tex]
Convert mixed number to an improper fractions
we know that
[tex]5\frac{1}{3}=\frac{5*3+1}{3}=\frac{16}{3}[/tex]
[tex]3\frac{9}{18}=3\frac{1}{2}=\frac{3*2+1}{2}=\frac{7}{2}[/tex]
substitute the values
[tex]\frac{16}{3}+(-\frac{7}{2})[/tex]
[tex]\frac{16}{3}-\frac{7}{2}=\frac{16*2-7*3}{6}=\frac{11}{6}[/tex]
Convert to mixed number
[tex]\frac{11}{6}=\frac{6}{6}+\frac{5}{6}=1\frac{5}{6}[/tex]
