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Find two rational number between :
`(i)(2)/(3)and(8)/(3)`

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To find two rational numbers between \( \frac{2}{3} \) and \( \frac{8}{3} \), we can follow these steps: ### Step 1: Identify the two rational numbers We have the two rational numbers: - \( \frac{2}{3} \) - \( \frac{8}{3} \) ### Step 2: Find a common denominator Since both fractions already have the same denominator (which is 3), we can directly compare the numerators. ### Step 3: List the numerators The numerators of the two fractions are: - For \( \frac{2}{3} \), the numerator is 2. - For \( \frac{8}{3} \), the numerator is 8. ### Step 4: Identify the numbers between the numerators The numbers between 2 and 8 are 3, 4, 5, 6, and 7. ### Step 5: Form the rational numbers We can form the rational numbers by using these numerators with the common denominator of 3: - \( \frac{3}{3} \) - \( \frac{4}{3} \) - \( \frac{5}{3} \) - \( \frac{6}{3} \) - \( \frac{7}{3} \) ### Step 6: Select any two rational numbers From the list above, we can choose any two rational numbers. For example: - \( \frac{4}{3} \) - \( \frac{5}{3} \) ### Final Answer Thus, two rational numbers between \( \frac{2}{3} \) and \( \frac{8}{3} \) are \( \frac{4}{3} \) and \( \frac{5}{3} \). ---

To find two rational numbers between \( \frac{2}{3} \) and \( \frac{8}{3} \), we can follow these steps: ### Step 1: Identify the two rational numbers We have the two rational numbers: - \( \frac{2}{3} \) - \( \frac{8}{3} \) ### Step 2: Find a common denominator ...
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