Question by Summer Clouds

16/07/2017 at 12:10

equality

Kayasari Ryuunosuke Coordinator 16/07/2017 at 12:47

Convert $\dfrac{a}{b}=\dfrac{a}{d}$ to $\dfrac{a}{b}=\dfrac{c}{d}$

We have :

$\dfrac{a}{b}=\dfrac{c}{d}\Leftrightarrow\dfrac{2a}{2b}=\dfrac{3c}{3d}$

Apply the same sequence properties , we got :

$\dfrac{2a}{2b}=\dfrac{3c}{3d}=\dfrac{2a-3c}{2b-3d}=\dfrac{2a+3c}{2b+3d}$

$\Rightarrow\dfrac{2a-3c}{2b-3d}=\dfrac{2a+3c}{2b+3d}$
Trần Nhật Dương 16/07/2017 at 17:16

Convert $\frac{a}{b} = \frac{a}{d}$ to $\frac{a}{b} = \frac{c}{d}$

We have :

$\frac{a}{b} = \frac{c}{d} \Leftrightarrow \frac{2 a}{2 b} = \frac{3 c}{3 d}$

Apply the same sequence properties , we got :

$\frac{2 a}{2 b} = \frac{3 c}{3 d} = \frac{2 a - 3 c}{2 b - 3 d} = \frac{2 a + 3 c}{2 b + 3 d}$

$\Rightarrow \frac{2 a - 3 c}{2 b - 3 d} = \frac{2 a + 3 c}{2 b + 3 d}$
v 16/07/2017 at 12:35

$\dfrac{a}{b}=\dfrac{c}{d}\Rightarrow\dfrac{2a}{2b}=\dfrac{3c}{3d}=\dfrac{2a+3c}{2b+3d}=\dfrac{2a-3c}{2b-3d}$
FA KAKALOTS 08/02/2018 at 21:59

Convert ab=ad to ab=cd

We have :

ab=cd⇔2a2b=3c3d

Apply the same sequence properties , we got :

2a2b=3c3d=2a−3c2b−3d=2a+3c2b+3d

⇒2a−3c2b−3d=2a+3c2b+3d