Question

if a/b = c/d , then a/b= c/d= a+c /b+d . this property is known as_____​

Answer 1

Answer:

This property is called Invertendo property

Answer 2

Answer:

Componendo and Dividendo

Proof:

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

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

$\dfrac{a}{c}+1 = \dfrac{b}{d}+1$

$\dfrac{a+c}{c} = \dfrac{b+d}{d}$

$\dfrac{a+c}{b+d} = \dfrac{c}{d}$

But $\dfrac{c}{d} = \dfrac{a}{b}$

$\therefore \dfrac{a}{b} = \dfrac{c}{d} = \dfrac{a+c}{b+d}$