Write your answer as an improper fraction.
answer this in a human way and without being way too detailed, make sure this doesnt have any \(\frac things
3 answers
To find a rational number with a denominator of 7 between √10 and √11, we first approximate the square roots.
√10 is about 3.16 and √11 is about 3.32. Now, we can consider rational numbers of the form \( n/7 \).
Testing a few values:
Since 23/7 falls between √10 and √11, the answer is 23/7.
\( n/7 \) represents a fraction where \( n \) is any integer. The denominator is fixed at 7, so it shows how many parts we have out of a total of 7 equal parts. For example, if \( n = 2 \), then \( n/7 = 2/7 \).
In the context of your earlier question, we were looking for a specific value of \( n \) such that the resulting fraction \(\frac{n}{7}\) falls between the square roots of 10 and 11. In this case, we found that \( n = 23 \), giving us the fraction \( \frac{23}{7} \).
