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What is the reciprocal of [tex]\(\frac{5}{17}\)[/tex]?

Sagot :

To find the reciprocal of the fraction [tex]\(\frac{5}{17}\)[/tex], follow these steps:

1. Understanding Reciprocals:
A reciprocal of a number is defined as [tex]\( \frac{1}{\text{number}} \)[/tex]. For a fraction [tex]\(\frac{a}{b}\)[/tex], the reciprocal is [tex]\(\frac{b}{a}\)[/tex].

2. Given Fraction:
We start with the fraction [tex]\(\frac{5}{17}\)[/tex].

3. Finding the Reciprocal:
The reciprocal of [tex]\(\frac{5}{17}\)[/tex] is [tex]\(\frac{17}{5}\)[/tex].

4. Result:
The reciprocal of [tex]\(\frac{5}{17}\)[/tex] is [tex]\(3.4\)[/tex] when expressed as a decimal.

Thus, the answer is [tex]\(3.4\)[/tex].

So, the reciprocal of [tex]\(\frac{5}{17}\)[/tex] is [tex]\(3.4\)[/tex].