Question
Find the reciprocal of \( 9 \frac{1}{3} \) The reciprocal of \( 9 \frac{1}{3} \) is (Type an integer or a fraction.)
Ask by Bright Marsh. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The reciprocal of \( 9 \frac{1}{3} \) is \( \frac{3}{28} \).
Solution
To find the reciprocal of 9 1/3, follow these steps:
1. Convert 9 1/3 to an improper fraction:
9 1/3 = (9 × 3 + 1) / 3 = (27 + 1) / 3 = 28/3
2. Find the reciprocal by inverting the fraction:
The reciprocal of 28/3 is 3/28.
So, the reciprocal of 9 1/3 is 3/28.
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Simplify this solution Beyond the Answer
To find the reciprocal of \( 9 \frac{1}{3} \), first convert it to an improper fraction. \( 9 \frac{1}{3} \) can be expressed as \( \frac{28}{3} \) (since \( 9 \times 3 + 1 = 28 \)). The reciprocal is then obtained by flipping the fraction, which gives us \( \frac{3}{28} \). So, the reciprocal of \( 9 \frac{1}{3} \) is \( \frac{3}{28} \). Make sure to keep your fractions in simplest form! Sometimes, while converting or flipping fractions, it's easy to overlook simplification. But here, \( \frac{3}{28} \) is already in its simplest form, so you should be all set!
