Question

3/4 is considered a real and rational number

Answer 1

Answer:

3/4 is a rational number and also a real number

Step-by-step explanation:

to prove 3/4 is real

3/4 is a fraction. It is a proper fraction since denominator  is grater than numerator.

3/4 can be written as 0.75 which is terminating decimal.

Therefore 3/4 is a real number

To prove 3/4 is a rational number

3/4 is the form of p/q.

Therefore 3/4 is a rational number.

Answer 2

Answer:

It is a rational number and real number

Explanation:

it is a real number because it can become .75 and that is a real number.

it is a rational number because assume that 3/4 is a rational number. Since every rational number can be expressed as a/b form which do not have any common factor so we can say that a/b = 3/4 Squaring both side we get: a2/b2 = 9/16 a2 = (9/16) b2 Or we can say b2 = a2(16/9) a2 is divided by 9. So we can say that a is divided by 9. It implies that there exist some number c such that a/9 = c a = 9c By squaring both side we get a2 = 81 c2 Put the value of a2 from the equation a2 = (9/16) b2 we get: (9/16)b2 = 81c2 this tends to b2/ 9 = 16 c2 It implies that b2 is divided by 9. So we can say that b is divided by 9. This implies that a and b have a common factor 9. Since a and b have common factor therefore 3/4 is not a irrational number. Hence 3/4 is a rational number.

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