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\[
\frac{2}{3} \div \frac{3}{4} = \frac{8}{9}
\]
Solución
To solve the division of two fractions, \(\frac{2}{3}\) divided by \(\frac{3}{4}\), follow these steps:
**Step 1: Rewrite the Division as Multiplication**
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of \(\frac{3}{4}\) is \(\frac{4}{3}\).
\[
\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3}
\]
**Step 2: Multiply the Numerators and the Denominators**
Multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
\[
\frac{2 \times 4}{3 \times 3} = \frac{8}{9}
\]
**Final Answer:**
\[
\frac{2}{3} \div \frac{3}{4} = \frac{8}{9}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Simplifique esta solución Beyond the Answer
To solve \( \frac{2}{3} \div \frac{3}{4} \), remember that dividing by a fraction is the same as multiplying by its reciprocal. So you take \( \frac{2}{3} \) and multiply it by \( \frac{4}{3} \) (the flipped version of \( \frac{3}{4} \)). This gives you \( \frac{2 \times 4}{3 \times 3} = \frac{8}{9} \). Voilà! If you're ever in a pinch and forget the steps, just recall: "Keep, change, flip!" Keep the first fraction, change the division to multiplication, and flip the second fraction. It’s like a dance move for math – it gets you to the right answer without missing a beat!
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