Answer :
Final answer:
To find the rational number between 13/15 and 14/15, converting all the given options into decimals make comparison easier. Only option 1: 27/30, which is 0.9, perfectly fits between the decimals converted from 13/15 and 14/15, therefore, it is the correct answer.
Explanation:
In the field of mathematics, specifically in the topic of rational numbers, the question asks us to find a rational number between two given fractions, 13/15 and 14/15. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p and q are not equal to zero.
To solve this problem, we first convert all the given options into decimals. This is because a decimal can make it clearer to compare: the rational number 13/15 converts to 0.8667, and 14/15 converts to 0.9333.
Now, let's convert the options:
- Option 1: 27/30=0.9
- Option 2: 13/14=0.9286
- Option 3: 7/8=0.875
- Option 4: 3/4=0.75
Considering our initial rational numbers (13/15 and 14/15, which translate to 0.8667 and 0.9333 respectively), the only option that fits perfectly between 0.8667 and 0.9333 is Option 1: 27/30 or 0.9. Hence, the correct answer is Option 1: 27/30, this is our answer-- it is the rational number present between 13/15 and 14/15.
Learn more about Rational Number here:
https://brainly.com/question/36880638
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