Find five rational numbers between (3)/(5)&(4)/(5)

Understand Difference: To find five rational numbers between 3/5 and 4/5, we first need to understand that the difference between these two numbers is 1/5. We can divide this difference into more parts to find numbers in between.Divide Interval Equally: We can divide the interval from 3/5 to 4/5 into six equal parts to ensure we find five numbers in between. To do this, we divide 1/5 by 6.Calculate Parts: 1/5 divided by 6 is 1/30. This means that each part between 3/5 and 4/5 is 1/30 apart.Find First Number: Now, we can add 1/30 to 3/5 to find the first rational number. 3/5 is the same as 18/30, so adding 1/30 gives us 19/30.Simplify Second Number: Continuing this process, we add 1/30 to 19/30 to get the second number, which is 20/30. However, 20/30 can be simplified to 2/3.Calculate Third Number: Adding another 1/30 to 20/30 gives us 21/30, which simplifies to 7/10.Determine Fourth Number: The next number is found by adding 1/30 to 21/30, resulting in 22/30, which simplifies to 11/15.Find Fifth Number: Finally, adding 1/30 to 22/30 gives us 23/30, which cannot be simplified further.We have now found five rational numbers between 3/5 and 4/5: 19/30, 2/3, 7/10, 11/15, and 23/30.

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Q. Find five rational numbers between

\frac{3}{5} \& \frac{4}{5}

Understand Difference: To find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ , we first need to understand that the difference between these two numbers is $\frac{1}{5}$ . We can divide this difference into more parts to find numbers in between.
Divide Interval Equally: We can divide the interval from $\frac{3}{5}$ to $\frac{4}{5}$ into six equal parts to ensure we find five numbers in between. To do this, we divide $\frac{1}{5}$ by $6$ .
Calculate Parts: $\frac{1}{5}$ divided by $6$ is $\frac{1}{30}$ . This means that each part between $\frac{3}{5}$ and $\frac{4}{5}$ is $\frac{1}{30}$ apart.
Find First Number: Now, we can add $\frac{1}{30}$ to $\frac{3}{5}$ to find the first rational number. $\frac{3}{5}$ is the same as $\frac{18}{30}$ , so adding $\frac{1}{30}$ gives us $\frac{19}{30}$ .
Simplify Second Number: Continuing this process, we add $\frac{1}{30}$ to $\frac{19}{30}$ to get the second number, which is $\frac{20}{30}$ . However, $\frac{20}{30}$ can be simplified to $\frac{2}{3}$ .
Calculate Third Number: Adding another $\frac{1}{30}$ to $\frac{20}{30}$ gives us $\frac{21}{30}$ , which simplifies to $\frac{7}{10}$ .
Determine Fourth Number: The next number is found by adding $\frac{1}{30}$ to $\frac{21}{30}$ , resulting in $\frac{22}{30}$ , which simplifies to $\frac{11}{15}$ .
Find Fifth Number: Finally, adding $\frac{1}{30}$ to $\frac{22}{30}$ gives us $\frac{23}{30}$ , which cannot be simplified further.
Find Fifth Number: Finally, adding $\frac{1}{30}$ to $\frac{22}{30}$ gives us $\frac{23}{30}$ , which cannot be simplified further.We have now found five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$ : $\frac{19}{30}$ , $\frac{2}{3}$ , $\frac{7}{10}$ , $\frac{11}{15}$ , and $\frac{23}{30}$ .