Question

How to rename 8 2/3 = 7 ?/3

Answer 1

7 5/3 if that’s what your asking

8 2/3 is equal to 7 5/3

Answer 2

let's firstly convert the mixed fractions to improper fractions and proceed from there.

`\bf \stackrel{mixed}{8(2)/(3)}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}}~\hfill \stackrel{mixed}{7(x)/(3)}\implies \cfrac{7\cdot 3+x}{3}\implies \stackrel{improper}{\cfrac{21+x}{3}} \\\\[-0.35em] ~\dotfill`

`\bf \cfrac{26}{3}=\cfrac{21+x}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{26}{3} \right)=3\left( \cfrac{21+x}{3} \right)}\implies 26=21+x\implies \boxed{5=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8(2)/(3)=7(5)/(3)~\hfill`