Answer:
4
Step-by-step explanation:
[tex]2\frac{2}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{convert\;mixed\;numbers\;to\;improper\;fractions:2\frac{2}{3}=\frac{8}{3}}[/tex]
[tex]=\frac{8}{3}\div \frac{2}{3}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{8}{3}\times \frac{3}{2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{8\times \:3}{3\times \:2}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{8}{2}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4[/tex]
[tex]=4[/tex]
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