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Delicious77 [7]
3 years ago
6

Rove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0

Answer:

\frac{ad+bc}{bd}

Step-by-step explanation:

Greetings!

I'm~Isabelle~Williams~and~I~will~be~answering~your~question!

Let,\frac{a}{b} ~and ~\frac{c}{d}~be~two~rational~numbers, ~where~ b ~and~ d ~are~ not~ zero ~and~ a, ~b, ~c ~and \\~d ~are~ integers.

1.~Given:

\frac{a}{b} +\frac{c}{d}

2.~Now,~we~multiply~to~get~a~common~denominator:

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}

3.~Then~simplify:

\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}=\frac{ad+bc}{bd}

4.~Since,b\neq 0,~d\neq 0,~then,~bd,~ad,~bc~and~ad+bc~are~integers~too.~So~the\\ fraction~will~be:

\frac{ad+bc}{bd}

Thus,~making~it~a~rational~number!

Hope~this~answer~helps!~and~have~an~amazing~day~ahead!

-Isabelle~Williams

Brut [27]3 years ago
8 0

Answer:

ad + cb / bd

Step-by-step explanation:

The answer is ad plus cb over bd

(Took test)

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