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Question
If `p/q` is a rational number and m is a non-zero integer, then `p/q = (p xx m)/(q xx m)`.
Options
True
False
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Solution
This statement is True.
Explanation:
e.g. Let m = 1, 2, 3,...
When m = 1, then `p/q =(p xx 1)/(1 xx q) = p/q`
When m = 2, then `p/q = (p xx 2)/(q xx 2) = p/q`
Hence, `p/q = (p xx m)/(q xx m)`
Notes
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.
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