# 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.

### 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.

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