To find the number of 1/3 s in 2 2 /3 , we divide 2 2 /3 by 1/3
[tex]2\frac{2}{3}\div\frac{1}{3}[/tex]to perform this division, we first convert the mixed number to an improper fraction.
[tex]2\frac{2}{3}=2+\frac{2}{3}[/tex]which can be written as
[tex]2+\frac{2}{3}=\frac{2\cdot3}{3}+\frac{2}{3}[/tex][tex]\begin{gathered} =\frac{6}{3}+\frac{2}{3} \\ \end{gathered}[/tex][tex]=\frac{8}{3}[/tex]Now our division becomes
[tex]\frac{8}{3}\div\frac{1}{3}[/tex]To perform the above division, we convert it to multiplication by taking the reciprocal of the fraction on the right. This gives
[tex]\frac{8}{3}\times3[/tex]which simplifies to
[tex]\frac{8}{3}\times3=8[/tex]Hence, there are 8 1/3s in 2 2 /3 .
