Question
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Answer
\[
\frac{11}{6} \div \frac{a}{2} = \frac{11}{3a}
\]
Solution
b) \( \frac{11}{6} \div \frac{a}{2} \)
Para resolver esta división de fracciones, multiplicamos la primera fracción por el inverso (o recíproco) de la segunda fracción.
\[
\frac{11}{6} \div \frac{a}{2} = \frac{11}{6} \times \frac{2}{a}
\]
Multiplicamos los numeradores entre sí y los denominadores entre sí:
\[
\frac{11 \times 2}{6 \times a} = \frac{22}{6a}
\]
Simplificamos la fracción dividiendo el numerador y el denominador por su máximo común divisor, que es 2:
\[
\frac{22}{6a} = \frac{11}{3a}
\]
**Respuesta final:**
\[
\frac{11}{6} \div \frac{a}{2} = \frac{11}{3a}
\]
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Simplify this solution Bonus Knowledge
To solve the equation \( \frac{11}{6} \div \frac{a}{2} \), you can rewrite the division as multiplication by the reciprocal. So it becomes \( \frac{11}{6} \times \frac{2}{a} \). Multiplying these two fractions gives you \( \frac{11 \times 2}{6 \times a} = \frac{22}{6a} \). You can simplify this further to \( \frac{11}{3a} \). Voilà! Now, imagine divided fractions as a sum of delicious pies! You're taking \( \frac{11}{6} \) delicious pies and sharing them with a group, where each pie represents \( \frac{a}{2} \). It really shows how sharing yummy things can help us understand complex equations!
