Pregunta
3) Sean and his sister, Betty, mow \( \frac{8}{9} \) of the total area of their lawn. If they divide th chore equally, what fraction of the total area does Sean mow?
Ask by Lewis Turner. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Sean mows \( \frac{4}{9} \) of the total lawn area.
Solución
To determine the fraction of the total lawn area that Sean mows, follow these steps:
1. **Total Area Mowed by Sean and Betty:**
They mow \( \frac{8}{9} \) of the lawn together.
2. **Dividing the Chore Equally:**
Since the chore is divided equally between Sean and Betty, each person mows half of the \( \frac{8}{9} \).
3. **Calculating Sean's Share:**
\[
\text{Sean's fraction} = \frac{8}{9} \div 2 = \frac{8}{9} \times \frac{1}{2} = \frac{4}{9}
\]
**Answer:**
\(\boxed{\dfrac{4}{9}}\)
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Simplifique esta solución Extra Insights
If Sean and Betty mow \( \frac{8}{9} \) of the total area of their lawn together and they divide the chore equally, then each of them would mow half of that area. To find the fraction of the total area that Sean mows, you can simply divide \( \frac{8}{9} \) by 2: \[ \text{Sean's portion} = \frac{8}{9} \times \frac{1}{2} = \frac{8 \times 1}{9 \times 2} = \frac{8}{18} = \frac{4}{9}. \] Thus, Sean mows \( \frac{4}{9} \) of the total area of the lawn. In all mowing situations, a little teamwork helps share the load! If you’re ever faced with sharing chores, just remember—dividing and conquering makes tough tasks a breeze and you might even have some fun while doing it!
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