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The reciprocal of \( \frac{52}{3} \) is \( \frac{3}{52} \).
Solución
1. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
2. Given the fraction \( \frac{52}{3} \), its reciprocal is:
\[
\frac{3}{52}
\]
3. Therefore, the reciprocal of \( \frac{52}{3} \) is \( \frac{3}{52} \).
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Simplifique esta solución The Deep Dive
The reciprocal of a fraction is found by switching the numerator and the denominator. So, for \( \frac{52}{3} \), its reciprocal would be \( \frac{3}{52} \). This means that instead of having '52' on top and '3' on the bottom, we now have '3' on top and '52' on the bottom—so easy, right? And speaking of fractions! Did you know that using reciprocals can be super helpful when dividing by fractions? Instead of doing the old "keep, change, flip" technique, just multiply by the reciprocal of the fraction you're dividing by. It’s a little trick that can save time and make those fraction calculations a whole lot easier!
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