Question 295603
"If 3/4 of a class is absent", then {{{1-3/4=4/4-3/4=(4-3)/4=1/4}}} of the class is present. Now since "2/3 of those present leave the room", this means that 1/3 of those present remain in the room. So simply multiply {{{1/4}}} by {{{1/3}}} to get the number of the people who remain the room. So {{{(1/4)(1/3)=(1*1)/(4*3)=1/12}}}




So {{{1/12}}} of the original class remains in the room. 


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Here's a concrete example: Say there are 600 kids. Now if "If 3/4 of a class is absent", then {{{600(3/4)=450}}} kids are absent and {{{600-450=150}}} are present (in the beginning)


Now because "2/3 of those present leave the room", we know that {{{150(2/3)=100}}} kids leave the room. Because 150 kids showed up originally, this means that {{{150-100=50}}} kids remain. Now just compute the ratio of the remaining 50 students to the total of 600 to get {{{50/600=1/12}}} which is the fraction we originally found. So this example supports our answer.