To find the rational number between 7–√ and 8–√, we need to find a number that is greater than 7–√ and less than 8–√. We can do this by taking the average of these two numbers.
First, let's rewrite 7–√ and 8–√ as improper fractions:
7–√ = 7 - √1 = 7 - 1/√1 = 7 - 1/1 = 6
8–√ = 8 - √1 = 8 - 1/√1 = 8 - 1/1 = 7
Now, we can find the average:
(6 + 7)/2 = 13/2
So, the rational number with a denominator of 7 that is between 7–√ and 8–√ is 13/2.
What is a rational number with a denominator of 7 that is between 7–√
and 8–√
. Write your answer as an improper fraction.
3 answers
that answer
doesn't have a denominator of 7
doesn't have a denominator of 7
Apologies for the confusion.
To find a rational number with a denominator of 7 between 7-√ and 8-√, we can take the average of these two numbers.
7-√ is equivalent to 7 - √1, and since the square root of 1 is 1, we have 7-√ = 7 - 1 = 6.
8-√ is equivalent to 8 - √1, which also equals 8 - 1 = 7.
Now, let's find their average:
(6 + 7)/2 = 13/2.
To express this fraction with a denominator of 7, we can multiply both the numerator and denominator by 7:
(13/2) * (7/7) = 91/14.
Therefore, the rational number with a denominator of 7 between 7-√ and 8-√ is 91/14.
To find a rational number with a denominator of 7 between 7-√ and 8-√, we can take the average of these two numbers.
7-√ is equivalent to 7 - √1, and since the square root of 1 is 1, we have 7-√ = 7 - 1 = 6.
8-√ is equivalent to 8 - √1, which also equals 8 - 1 = 7.
Now, let's find their average:
(6 + 7)/2 = 13/2.
To express this fraction with a denominator of 7, we can multiply both the numerator and denominator by 7:
(13/2) * (7/7) = 91/14.
Therefore, the rational number with a denominator of 7 between 7-√ and 8-√ is 91/14.
7 answers