\(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{a}{c}=\frac{b}{d}=\frac{5a}{5c}=\frac{3b}{3d}=\frac{5a+3b}{5c+3d}=\frac{5a-3b}{5c-3d}\)(tính chất dãy tì số bằng nhau)
\(\Rightarrow\frac{5a+3b}{5c+3d}=\frac{5a-3b}{5c-3d}\)
\(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{a}{c}=\frac{b}{d}=\frac{5a}{5c}=\frac{3b}{3d}=\frac{5a+3b}{5c+3d}=\frac{5a-3b}{5c-3d}\)(tính chất dãy tì số bằng nhau)
\(\Rightarrow\frac{5a+3b}{5c+3d}=\frac{5a-3b}{5c-3d}\)
Chứng minh rằng: Nếu \(\frac{a}{c}=\frac{b}{d}\)thì \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
cho \(\frac{a}{b}=\frac{c}{d}\left(c\ne+-\frac{3}{5}d\right)\)
chứng minh \(\frac{5a+3b}{5c+3d}=\frac{5a-3b}{5c-3d}\)
Chứng minh rằng nếu
\(\frac{a}{b}=\frac{c}{d}\)thì \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
Cho tỉ lệ thức:\(\frac{a}{b}=\frac{c}{d}\left(a;b;c;d\ne0\right)\)
Chứng minh:
a) \(\frac{a+b}{b}=\frac{c+d}{d}\)
b) \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
chứng minh rằng \(\frac{a}{b}=\frac{c}{d}\)thì
\(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
\(Cho\frac{a}{b}=\frac{c}{d}.Tính\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
\(cho\frac{a}{b}=\frac{c}{d}CMR\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
chứng minh rằng nếu \(\frac{a}{b}=\frac{c}{d}\)
thì: \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)
Cho \(\frac{a}{b}\)= \(\frac{c}{d}\)(b;d \(\ne\) 0)
Chứng minh rằng ; \(\frac{5a+3b}{5a-3b}=\frac{5c+3d}{5c-3d}\)