Question
Find six rational numbers between $3$ and $4.$
✓
Answer
We know that there are infinite rational numbers between any two numbers. A rational number is the one that can be written in the form of $\frac{p}{q}$, where p and q are integers and $q \ne 0$ We know that the numbers all lie between $3$ and $4$. We need to rewrite the numbers in $\frac{p}{q}$ form to get the rational numbers between $3$ and $4$. So, we cover it in$\frac{p}{q}$$\eqalign{ & {3 \over 1} = {3 \over 1} \times {{10} \over {10}} = {{30} \over {10}} \cr & {4 \over 1} = {4 \over 1} \times {{10} \over {10}} = {{40} \over {10}} \cr} $
So any six number between ${{30} \over {10}},{{40} \over {10}}$will be the answer example ${{31} \over {10}},{{33} \over {10}},{{34} \over {10}},{{35} \over {10}},{{37} \over {10}},{{38} \over {10}}$
So any six number between ${{30} \over {10}},{{40} \over {10}}$will be the answer example ${{31} \over {10}},{{33} \over {10}},{{34} \over {10}},{{35} \over {10}},{{37} \over {10}},{{38} \over {10}}$
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