Discussion
Ravi gives one-fourth of a pizza to Sonu and one-third of the remaining pizza to Priya. He then distributes the remaining pizza equally to Anu, Bobby and Cheema. What fraction of the whole pizza does Cheema get ?
Answer: A
Cheema gets \(\frac{1}{6}\) of the pizza.
Follow the pizza step by step:
\[ \begin{aligned} \text{after Sonu} &= 1 - \tfrac{1}{4} = \tfrac{3}{4} \\ \text{Priya} &= \tfrac{1}{3} \times \tfrac{3}{4} = \tfrac{1}{4} \\ \text{left} &= \tfrac{3}{4} - \tfrac{1}{4} = \tfrac{1}{2} \\ \text{Cheema} &= \tfrac{1}{2} \div 3 = \tfrac{1}{6} \end{aligned} \]
The trap is taking Priya's third of the whole pizza instead of the remainder: that leaves \(1 - \frac{1}{4} - \frac{1}{3} = \frac{5}{12}\), and a third of it is \(\frac{5}{36}\). Dividing Sonu's quarter by three gives \(\frac{1}{12}\), which answers a different question.
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