Simplify. Show your work 5 1/3 + (-3 9/18)

1 answer
Question:

Simplify. Show your work
5 1/3 + (-3 9/18)

Answers

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 fractionswe 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]

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