Cindy eats $$ \frac{1}{4} $$ of a packet of chips. The following day, she eats $$ \frac{1}{3} $$ of what was left after she ate $$ \frac{1}{4} $$. What fraction of the chips are left in the packet?

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Let's break down the problem step by step:

1. **Initial Packet:** 
   - Total chips = $$ 1 $$ (whole packet).

2. **First Day:** 
   - Cindy eats $$ \frac{1}{4} $$ of the packet.
   - **Chips eaten:** $$ \frac{1}{4} $$.
   - **Chips remaining:** $$ 1 - \frac{1}{4} = \frac{3}{4} $$.

3. **Second Day:** 
   - Cindy eats $$ \frac{1}{3} $$ of the remaining chips.
   - **Chips eaten on the second day:** $$ \frac{1}{3} 	imes \frac{3}{4} = \frac{1}{4} $$.
   - **Chips remaining after the second day:** $$ \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $$.

**Final Answer:**  
The fraction of chips left in the packet is $$ \frac{1}{2} $$.
After Cindy eats $$ \frac{1}{4} $$ of the chips on the first day and $$ \frac{1}{3} $$ of the remaining chips on the second day, $$ \frac{1}{2} $$ of the chips are left in the packet.

Cindy eats of a packet of chips. The following day, she eats of what was left after she ate .
What fraction of the chips are left in the packet?

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Cindy eats of a packet of chips. The following day, she eats of what was left after she ate . What fraction of the chips are left in the packet?