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12. Model Real Life You and your friend 7 each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more? How much more?

Ask by Collins Reed. in the United States
Jan 24,2025

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Tutor-Verified Answer

Answer

Tú pintas más que tu amiga. Pintas \(\frac{1}{35}\) de tu lienzo más que ella.

Solution

Para determinar quién pinta más y cuánto más, sigamos los siguientes pasos: 1. **Tu lienzo:** - Dividiste tu lienzo en **5 secciones**. - Pintaste **3 de ellas**. - Por lo tanto, pintaste \(\frac{3}{5}\) del lienzo. 2. **Lienzo de tu amiga:** - Ella dividió su lienzo en **7 secciones**. - Pintó **4 de ellas**. - Por lo tanto, pintó \(\frac{4}{7}\) del lienzo. 3. **Comparación de las fracciones:** - Convertimos ambas fracciones a un denominador común para compararlas fácilmente: \[ \frac{3}{5} = \frac{21}{35} \quad \text{y} \quad \frac{4}{7} = \frac{20}{35} \] - Al comparar \(\frac{21}{35}\) y \(\frac{20}{35}\), vemos que \(\frac{21}{35}\) es mayor. 4. **Diferencia:** - La diferencia entre ambas fracciones es: \[ \frac{3}{5} - \frac{4}{7} = \frac{21}{35} - \frac{20}{35} = \frac{1}{35} \] **Conclusión:** Tú pintas más que tu amiga. **Pintas \(\frac{1}{35}\)** de tu lienzo más que ella.

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Mind Expander

To determine who paints more, we can find out what fraction of each canvas was painted. You painted 3 out of 5 sections, so that’s \( \frac{3}{5} \). Your friend painted 4 out of 7 sections, which is \( \frac{4}{7} \). To compare these fractions, we can find a common denominator (35). Converting both fractions gives you \( \frac{21}{35} \) and your friend \( \frac{20}{35} \). So, you painted more by \( \frac{1}{35} \). Now, let’s put a creative spin on this! Imagine your canvases are both portals to different worlds. The whimsical landscape on your canvas boasts vibrant colors, while your friend's canvas is a serene haven. By showcasing \( \frac{3}{5} \) of your vibrant world and \( \frac{4}{7} \) of that serene haven, you're not just calculating, but also diving into a friendly rivalry of artistry! How exciting it is to think of your creativity filling the air with color and inspiration!

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