Question

Cho biết \(\frac{a}{b}\)=\(\frac{c}{d}\)

chứng minh \(\frac{a+b}{b}\)=\(\frac{c+d}{d}\)

 

Answer 1

\(\frac{a}{b}=\frac{c}{d}\Rightarrow ad=bc\Rightarrow ad+bd=bc+bd\)

\(\Rightarrow d\left(a+b\right)=b\left(c+d\right)\)

\(\Rightarrow\frac{a+b}{b}=\frac{c+d}{d}\)

(Đpcm)

Answer 2

Neu \(\frac{a}{b}=\frac{c}{d}\) thi

 \(\frac{a}{b}+1=\frac{c}{d}+1\Leftrightarrow\frac{a}{b}+\frac{b}{b}=\frac{c}{d}+\frac{d}{d}\Leftrightarrow\frac{a+b}{b}=\frac{c+d}{d}\)

Answer 3

ta có: a/b=c/d

suy ra a/b +1=c/d +1

         a+b/b=c+d/d(đpcm)

Answer 4

Ta có : \(\frac{a}{b}=\frac{c}{d}=>ad=bc\)

\(=>ad+bd=bc+bd\)

\(=>d\left(a+b\right)=b\left(c+d\right)\)

\(=>\frac{a+b}{b}=\frac{c+d}{d}\)

Answer 5

                              Vì \(\frac{a}{b}=\frac{c}{d}\)\(\Rightarrow a.d=b.c\)

                              \(\Rightarrow a.d+b.d=b.d+b.c\)

                             \(\Rightarrow d.\left(a+b\right)=b.\left(c+d\right)\)

                             \(\Rightarrow\frac{a+b}{b}=\frac{c+d}{d}\left(ĐPCM\right)\)

                                 Ủng hộ mk nha!!!