If a/b = c/d = e/f = 3/4, What is the value of \(\frac{{a + c + e}}{{b + d + f}}\) ?
3/4
The correct answer is 3/4.
Dividendo: If \frac{a}{b} = \frac{c}{d} , then \frac{a-b}{b} = \frac{c-d}{d} . Componendo and Dividendo: If \frac{a}{b} = \frac{c}{d} , then \frac{a+b}{a-b} = \frac{c+d}{c-d} (provided a \neq b and c \neq d ). The property used in this question is an extension of Componendo and Dividendo applied to multiple equal ratios. These properties simplify calculations and help solve complex problems involving proportions more efficiently.
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