Answer:
3 2/3 divided by 3 4/5 is
![(55)/(57)](https://img.qammunity.org/2021/formulas/mathematics/high-school/exm21w5hmgmloxxz0ywe6qxhp0i7ei5j5p.png)
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:
![\displaystyle 3(2)/(3)=3+(2)/(3)=(9+2)/(3)=(11)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ur4yxbpboeolkrfsszbwytib3q000x81g8.png)
![\displaystyle 3(4)/(5)=3+(4)/(5)=(15+4)/(5)=(19)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/por1dl2mgdlmid4hv0rkcfbglx2lyd6mou.png)
We must divide
by
![(19)/(5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/z2q7u5j6p855ijquegjkbj6a3xo6vivwwf.png)
To make it simple, we just multiply the first fraction by the reciprocal of the second fraction:
![\displaystyle ((11)/(3) )/( (19)/(5))=(11)/(3) * (5)/(19)=(55)/(57)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rs4zfpv8m9g1uraval54stx1cl2hqzinyv.png)
3 2/3 divided by 3 4/5 is
![(55)/(57)](https://img.qammunity.org/2021/formulas/mathematics/high-school/exm21w5hmgmloxxz0ywe6qxhp0i7ei5j5p.png)