Question

For all rational numbers r and s if s is nonzero then 2r/5s is rational. Still confused

Answer 1

What is the definition of a rational number?

Answer 2

In math you use definitions to clarify what something means.

Answer 3

@jamjam1988 are you still there?

Answer 4

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Answer 5

the rational number is the number that u can write it as the form of a/b
r is rational
r=a/b
s is rational
s=c/d
2r/5s=2(a/b)/5(c/d)
\[\frac{ 2r }{ 5s }=\frac{ 2\frac{ a }{ b } }{ 5\frac{ c }{d } }\]
\[=\frac{ 2a }{ b }\times \frac{ d }{ 5c }\]
=\[=\frac{ 2ad }{5bc }\]
assume 2ad=k
5bc=h
\[\frac{ 2r }{5s }=\frac{ k }{h }\] #

Answer 6

yes im here would not let me reply