Answer:
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
Step-by-step explanation:
Operations With Fractions
Let's divide 3 2/3 by 3 4/5. Both fractions are in mixed format, so we have to write them as an improper fraction:
[tex]\displaystyle 3\frac{2}{3}=3+\frac{2}{3}=\frac{9+2}{3}=\frac{11}{3}[/tex]
[tex]\displaystyle 3\frac{4}{5}=3+\frac{4}{5}=\frac{15+4}{5}=\frac{19}{5}[/tex]
We must divide [tex]\frac{11}{3}[/tex] by [tex]\frac{19}{5}[/tex]
To make it simple, we just multiply the first fraction by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{11}{3} }{ \frac{19}{5}}=\frac{11}{3} * \frac{5}{19}=\frac{55}{57}[/tex]
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
