Question
7. You eat \( \frac{1}{12} \) of a vegetable casserole. Your friend eats \( \frac{1}{6} \) of the same casserole. How much more does your friend eat
Ask by Schofield Li. in the United States
Jan 24,2025
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Tutor-Verified Answer
Answer
Tu amigo come \(\frac{1}{12}\) de la cazuela más que tú.
Solution
Tu amigo come \(\frac{1}{12}\) de la cazuela más que tú.
**Explicación:**
- **Cantidad que tú comes:** \(\frac{1}{12}\) de la cazuela.
- **Cantidad que tu amigo come:** \(\frac{1}{6}\) de la cazuela.
Para encontrar cuánto más come tu amigo que tú, restamos la cantidad que tú comes de la que come tu amigo:
\[
\frac{1}{6} - \frac{1}{12} = \frac{2}{12} - \frac{1}{12} = \frac{1}{12}
\]
Por lo tanto, tu amigo come \(\frac{1}{12}\) de la cazuela más que tú.
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The Deep Dive
To compare the amounts eaten, let's find a common denominator for \( \frac{1}{12} \) and \( \frac{1}{6} \). The least common multiple of 12 and 6 is 12. Thus, we can express \( \frac{1}{6} \) as \( \frac{2}{12} \). Now we can subtract the amount you ate from the amount your friend ate: \[ \frac{2}{12} - \frac{1}{12} = \frac{1}{12} \] So, your friend eats \( \frac{1}{12} \) more of the casserole than you do!