Question

When you divide two rational numbers,you always get another rational number provided you do not divide by zero.

Answer 1

R2 is not zero. If R2 is zero, then you cannot muliply both sides by Irr/R2, because that would mean dividing by zero.

Answer 2

TRUE

It is absolutely true that when we divide two rational numbers, we always get another rational number [provided we do not divide by zero.]

And here is the proof:
If m and n two rational numbers such that n ≠ 0, then the result of dividing m by n is the rational number obtained on multiplying m by the reciprocal of n.

m÷n = mx[1/n]

example:
Let's devide -9/40 by (-3)/8 
=-9/40 ÷ (-3)/8
= (-9)/40 × 8/(-3) 
= [(-9) × 8]/[40 × (-3)] 
= -72/-120
= 3/5 {another rational number}

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