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Find three Rational Numbers between 2/3 and 3/4

Find three rational numbers between 2/3 and 3/4. Find the answer to this question and access a vast question bank customized for students.

  • Any number that can be expressed in the manner of p/q wherein q ≠ 0 is referred to as a rational number in math
  • Any fraction could also be classified as a rational number if the numerator and denominator are both integers and if the denominator is indeed not equivalent to 0
  • When a rational integer is a fractional division, the output is in decimal form, which can be looping decimal and terminating decimal

A rational number’s properties

The following are the rational number’s most important characteristics:

  • When 2 rational numbers are multiplied, added, or subtracted, the result is often a rational number
  • If the denominator and the numerator are multiplied or divided by the same factor, the rational number stays the same
  • When we multiply a rational number by zero, we get a zero

We need to come up with 3 rational numbers within 2/3 and 3/4.

Multiply both the numerator and denominator to make the denominator same.

2/3 = (2 x 4)/(3 x 4) = 8/12

3/4 = (3 x 3)/(4 x 3) = 9/12

Hence, the two factions are 8/12 and 9/12

We will multiply this fraction by 4 from the denominator and the numerator to find three rational values.

Therefore the answer will be 33/48, 34/48, 35/48

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