Question

What is 2 1/2 divided by 3 2/3

Answer 1

Answer by JKismyhusbandbae:

`\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2(1)/(2)=(5)/(2)\\=(5)/(2)/ \:3(2)/(3)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3(2)/(3)=(11)/(3)\\=(5)/(2)/ (11)/(3)\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)\\=(5)/(2)* (3)/(11)\\\mathrm{Multiply\:fractions}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)\\`

`\mathrm{Multiply\:fractions}:\quad (a)/(b)* (c)/(d)=(a\:* \:c)/(b\:* \:d)\\=(5* \:3)/(2* \:11)\\\mathrm{Multiply\:the\:numbers:}\:5* \:3=15\\=(15)/(2* \:11)\\\mathrm{Multiply\:the\:numbers:}\:2* \:11=22\\=(15)/(22)`