Which of the following is a rational number between 5 and 5 1/4
Checkmark 24
5 2/5
5 1/7
5 1/3
5 answers
The rational number between 5 and 5 1/4 is 5 2/5.
what do you have to back this up
To determine which rational number is between 5 and 5 1/4, we need to look for a number that is greater than 5 and less than 5 1/4.
5 2/5 is greater than 5 and less than 5 1/4.
Let's convert 5 1/4 to a common denominator with 5:
5 1/4 = 20/4 + 1/4 = 21/4
5 2/5 is equivalent to ((5*5) + 2)/5 = 27/5
Therefore, 5 2/5 is greater than 5 and less than 5 1/4, making it the rational number we are looking for.
5 2/5 is greater than 5 and less than 5 1/4.
Let's convert 5 1/4 to a common denominator with 5:
5 1/4 = 20/4 + 1/4 = 21/4
5 2/5 is equivalent to ((5*5) + 2)/5 = 27/5
Therefore, 5 2/5 is greater than 5 and less than 5 1/4, making it the rational number we are looking for.
What is a rational number with a denominator of 7 that is between 7–√ and 8–√ . Write your answer as an improper fraction.(1 point)
To find a rational number with a denominator of 7 between 7-√ and 8-√, we need to find the decimal equivalent of the given numbers and then convert it into a fraction with a denominator of 7.
First, let's find the decimal equivalents of 7-√ and 8-√:
7-√ ≈ 7.586
8-√ ≈ 7.586
Now, let's convert 7.586 and 7.586 to fractions:
7.586 = 7586/1000
7.586 ≈ 7586/1000 ≈ 3793/500
Since the denominator should be 7, we can rewrite the fraction as follows:
3793/500 = (3793/500) × (7/7) = (26551/3500) × (1/7) = 26551/24500
Therefore, the rational number with a denominator of 7 between 7-√ and 8-√ is 26551/24500.
First, let's find the decimal equivalents of 7-√ and 8-√:
7-√ ≈ 7.586
8-√ ≈ 7.586
Now, let's convert 7.586 and 7.586 to fractions:
7.586 = 7586/1000
7.586 ≈ 7586/1000 ≈ 3793/500
Since the denominator should be 7, we can rewrite the fraction as follows:
3793/500 = (3793/500) × (7/7) = (26551/3500) × (1/7) = 26551/24500
Therefore, the rational number with a denominator of 7 between 7-√ and 8-√ is 26551/24500.
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