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].
