Question

ethan sold \\(\frac{2}{3}\\) gallon of lemonade. kayla sold some lemonade too. together, they sold \\(1 \frac{1}{4}\\) gallons. who sold more lemonade, ethan or kayla? how much more? how much more lemonade did ethan sell? ethan sold \\(\frac{\square}{\square}\\) gallon more lemonade.

Explanation:

Step1: Find Kayla's sales

Total sales: $1\frac{1}{4}=\frac{5}{4}$ gallons. Ethan's sales: $\frac{2}{3}$ gallons. Kayla's sales: $\frac{5}{4}-\frac{2}{3}$. Find common denominator (12): $\frac{15}{12}-\frac{8}{12}=\frac{7}{12}$ gallons.

Step2: Compare Ethan and Kayla

Ethan: $\frac{2}{3}=\frac{8}{12}$, Kayla: $\frac{7}{12}$. $\frac{8}{12}>\frac{7}{12}$, so Ethan sold more.

Step3: Find the difference

Subtract Kayla's from Ethan's: $\frac{8}{12}-\frac{7}{12}=\frac{1}{12}$ gallons.

Answer:

$\frac{1}{12}$