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Find five rational numbers between 2/3 and 4/5.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The five rational numbers between ⅔ and ⅘ are 31/45, 32/45, 33/45, 34/45, and 35/45. In mathematics, any number that can be written as p/q where q ≠ 0 is considered a rational number. Additionally, every fraction that has an integer denominator and numerator and a denominator that is not zero falls into the category of rational numbers.
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Determine the required rational numbers
Any integer that can be represented as p/q, with q ≠ 0, is referred to as a rational number.
Given two rational numbers ⅔ and ⅘:
By multiplying the numerator and denominator of ⅔ by 15, we get, 30/45
By multiplying the numerator and denominator of ⅘ by 9, we get, 36/45
Therefore, the rational numbers between 30/45 and 36/45 are 31/45, 32/45, 33/45, 34/45 and 35/45.
Therefore, the five rational numbers between ⅔ and ⅘ are 31/45, 32/45, 33/45, 34/45, and 35/45.
Summary:
Find five rational numbers between 2/3 and 4/5.
The five rational numbers between ⅔ and ⅘ are 31/45, 32/45, 33/45, 34/45 and 35/45. The outcome of dividing a rational number, or fraction, will be a decimal number, either a terminating decimal or a repeating decimal.
