If P q is a rational number and m is a non-zero integer, then P q…

Question

If $\frac{\text{P}}{\text{q}}$ is a rational number and $m$ is a non-zero integer, then $\frac{\text{P}}{\text{q}}=\frac{\text{P}\times\text{m}}{\text{q}\times\text{m}}$

✓

Answer

e.g. Let $m = 1, 2, 3,...$ When $m = 1,$
then, $\frac{\text{P}}{\text{q}}=\frac{\text{P}\times1}{1\times\text{q}}=\frac{\text{P}}{\text{q}}$
When $m = 2,$ then,
$\frac{\text{P}}{\text{q}}=\frac{\text{P}\times2}{\text{q}\times{2}}=\frac{\text{P}}{\text{q}}$
Hence, $\frac{\text{P}}{\text{q}}=\frac{\text{P}\times\text{m}}{\text{q}\times\text{m}}$
Note: When both numerator and denominator of a rational number are multiplied/ divide by a same non-zero number, then we get the same rational number

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from Rational Numbers→Rational Numbers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Rational Numbers — MATHS STD 7 — Question

Answer

Need a full question paper?

Explore more

Similar questions