Question

What is the rational number between five and five one fourth

Answer 1

To find a rational number between \(5\) and \(5 \frac{1}{4}\), we can convert \(5\) to a fraction:

\[
5 = \frac{20}{4}
\]
Thus, \(5 \frac{1}{4} = \frac{21}{4}\).

Now we have two fractions:
- \( \frac{20}{4} \)
- \( \frac{21}{4} \)

A rational number between these two values can be found by averaging them:

\[
\text{Average} = \frac{\frac{20}{4} + \frac{21}{4}}{2} = \frac{\frac{41}{4}}{2} = \frac{41}{8}
\]

Now, \(\frac{41}{8}\) is a rational number. To convert this back to a mixed number:

\[
\frac{41}{8} = 5 \frac{1}{8}
\]

Therefore, one rational number between \(5\) and \(5 \frac{1}{4}\) is \(5 \frac{1}{8}\) or \(\frac{41}{8}\).