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

Fill in the missing reason in the proof.

A.Multiply to get a common denominator
B.Add to get a common denominator
C.Distribute d to all terms
D.Add d to all terms

Question

contestada

Respuesta :

drishti2008chauhan drishti2008chauhan · Answer 1 · 2020-11-05T15:02:57+01:00

the answer is (A).......

Answer Link

saimaparvezVT saimaparvezVT · Answer 2 · 2022-07-22T14:22:48+02:00

ac/bd is a fraction with the numerator and denominator, making it a rational number.

A rational function is defineds as a polynomial divided by a polynomial.

Given ,

a/b and c/d are rational numbers with a, b, c, d integers (b,d ≠ 0)

The product of two rational numbers is another rational number.

[tex]{\dfrac{a}{b} \times \dfrac{c}{d}[/tex] is rational numbers

[tex]{\dfrac{a}{b} \times \dfrac{c}{d}[/tex]

[tex]\left\{\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd} \right\}[/tex] (b≠ 0,d ≠ 0)

Since integers are closed under multiplication, ac and bd are integers.

Thus, [tex]\dfrac{ac}{bd}[/tex] is a fraction with the numerator and denominator, making it a rational number.

Learn more about rational function

brainly.com/question/20850120

#SPJ2