Question

If 4a=3b and 5a=4c then (c-a)/(b-a) = . (write your answer by decimal in simplest form)

Answer 1

\(4a=3b\Rightarrow\frac{a}{3}=\frac{b}{4}\Rightarrow\frac{a}{12}=\frac{b}{16}\)

\(5a=4c\Rightarrow\frac{a}{4}=\frac{c}{5}\Rightarrow\frac{a}{12}=\frac{c}{15}\)

\(\Rightarrow\frac{a}{12}=\frac{b}{16}=\frac{c}{15}\)

\(\Rightarrow\frac{c-a}{15-12}=\frac{b-a}{16-12}=\frac{c-a}{3}=\frac{b-a}{4}\)

\(\Rightarrow\frac{c-a}{a-b}=\frac{3}{4}=0,75\)

Answer 2

Nếu 4a = 3b và 5a = 4c sau đó (ca) / (ba) =?