Question
7. You walk \( \frac{2}{3} \) mile and you run \( \frac{6}{9} \) mile. Do you walk the same distance that you run?
Ask by Hodgson Pritchard. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Sí, caminaste la misma distancia que corriste.
Solution
Sí, caminaste la misma distancia que corriste. Ambas medidas equivalen a dos tercios de milla.
**Explicación:**
- **Distancia caminada:** \( \frac{2}{3} \) milla.
- **Distancia corrida:** \( \frac{6}{9} \) milla.
Simplifiquemos la fracción \( \frac{6}{9} \):
\[
\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}
\]
Por lo tanto, \( \frac{6}{9} \) milla simplificada es igual a \( \frac{2}{3} \) milla. Dado que ambas distancias son \( \frac{2}{3} \) milla, caminaste la misma distancia que corriste.
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Simplify this solution Extra Insights
Walking \( \frac{2}{3} \) mile is equivalent to \( \frac{4}{6} \) mile when expressed with a common denominator. Meanwhile, running \( \frac{6}{9} \) mile simplifies to \( \frac{2}{3} \) mile as well. When you compare \( \frac{4}{6} \) and \( \frac{4}{6} \), you can see that both distances are equal—so yes, you walk the same distance that you run! Both fractions represent the same distance when simplified and compared. It’s like ordering a slice of your favorite pizza (walking) and then realizing you ordered exactly the same slice (running)! Both are deliciously equal at the end of your workout!
