Question

2and2/3 divided by 2/3

Answer 1

4

Explanation:

`2(2)/(3)/ (2)/(3)`

`\mathrm{convert\;mixed\;numbers\;to\;improper\;fractions:2(2)/(3)=(8)/(3)}`

`=(8)/(3)/ (2)/(3)`

`\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)`

`=(8)/(3)* (3)/(2)`

`\mathrm{Multiply\:fractions}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)`

`=(8* \:3)/(3* \:2)`

`\mathrm{Cancel\:the\:common\:factor:}\:3`

`=(8)/(2)`

`\mathrm{Divide\:the\:numbers:}\:(8)/(2)=4`

`=4`

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