first off, let's convert the "improper" fractions to mixed,
[tex] \bf \cfrac{5}{3}\implies 1\frac{2}{3}\qquad \qquad \qquad\qquad \qquad \cfrac{30}{7}\implies 4\frac{2}{7}\\\\
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1\frac{2}{3}\text{\textemdash\textemdash\textemdash}\boxed{2}\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{3}\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{4}\text{\textemdash\textemdash}4\frac{2}{7} [/tex]
1 integer is between 5/3 and 30/7.
The 1 integer is 3.
5/3 = 1.66
5 / 3 ≅ 2
and
30/7 = 4.28
30/7 ≅ 4
Therefore the integers between 5/3 and 30/7 is 3.
Integers are the set of numbers including all the effective counting numbers, zero in addition to all bad counting numbers which count from bad infinity to effective infinity.
Learn more about Integers here: https://brainly.com/question/14453211
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