Question

If a:b = 2:7 and b:c = 14:17 ,find a:b:c.​

Answer 1

Answer:

hmmmmm pls someone help I have the same problem

Answer 2

Answer:

$a : b = 2 : 7 \\ b : c = 14 : 17 \\ \\ The \: \: value \: \: of \: \: b \: \: is \: \: different \\ in \: \: both \: \: the \: \: ratios. \\ So, \: \: Let's \: \: find \: \: out \: \: the \: \: LCM \\ \\ LCM \: \: (7, \: 14) = 14 \\ \\ To \: \: make \: \: value \: \: of \: \: b \\ equal \: \: in \: \: both \: \: the \: \: ratios, \\ multiply \: \: the \: \: ratios \: \: into \: \: 2 \: \: and \: \: 1 \\ respectively \\ \\ a : b \\ 2 : 7 \\ 2 \times 2 : 7 \times 2 \\ 4 : 14 \\ \\ b : c \\ 14 : 17 \\ 14 \times 1 : 17 \times 1 \\ 14 : 17 \\ \\ Now, \: \: the \: \: value \: \: of \: \: b \: \: is \\ same \: \: in \: \: both \: \: the \: \: ratios. \\ \\ a : b = 4 : 14 \\ b : c = 14 : 17 \\ \\ \large{a : b : c} \\ \large{4 : 14 : 17}$