Question

Find 4 rational number between 9 and 10

Answer 1

Answer: $\frac{19}{2}$, $\frac{39}{4}$, $\frac{37}{4}$ and $\frac{73}{8}$

Step by step explanation:

Take average of 9 and 10 = $\frac{1}{2}$×(9+10) = $\frac{1}{2}$×19 = $\frac{19}{2}$

Then take average of $\frac{19}{2}$ and 10 = $\frac{1}{2}$×($\frac{19}{2}$ + 10) = $\frac{1}{2}$×($\frac{19+20}{2}$) = $\frac{1}{2}$×$\frac{39}{2}$ = $\frac{39}{4}$

Then take average of $\frac{19}{2}$ and 9 = $\frac{1}{2}$×($\frac{19}{2}$ + 9) = $\frac{1}{2}$×($\frac{19+18}{2}$) = $\frac{1}{2}$×$\frac{37}{2}$ = $\frac{37}{4}$

Then take average of 9 and $\frac{37}{4}$ = $\frac{1}{2}$×($\frac{37}{4}$ + 9) = $\frac{1}{2}$×($\frac{37+36}{4}$) = $\frac{1}{2}$ ×$\frac{73}{4}$ = $\frac{73}{8}$

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