Question
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Tutor-Verified Answer
Answer
La respuesta es \( \frac{3}{35} \).
Solution
1. Convertimos la división en una multiplicación por el inverso de la segunda fracción:
\[
\frac{1}{5} \div \frac{7}{3} = \frac{1}{5} \times \frac{3}{7}
\]
2. Multiplicamos los numeradores y los denominadores:
\[
\frac{1 \times 3}{5 \times 7} = \frac{3}{35}
\]
3. La respuesta final es:
\[
\frac{3}{35}
\]
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Simplify this solution Beyond the Answer
To solve \( \frac{1}{5} \div \frac{7}{3} \), remember that dividing by a fraction is the same as multiplying by its reciprocal. So rewrite the expression as \( \frac{1}{5} \times \frac{3}{7} \). Now just multiply across: \( \frac{1 \times 3}{5 \times 7} = \frac{3}{35} \). And there you have it! To ensure accuracy, a common mistake is to forget to convert the division into a multiplication by the reciprocal. Also, it's easy to rush through the multiplication, so take your time to multiply the numerator and denominator clearly.
