Question

if a : b = 3 : 5 and b : c = 4 : 7, find a : b : c ​

Answer 1

Answer:

if a = 3, b = 5 + 4 , c = 7

= 9

= so, therefore,

a : b : c

= 3 : 9 : 7

this is your answer 3: 9 :7.

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Answer 2

$\Large\bold{A:B =3:5}$

~Dividing By 5 = $\large \: \frac{3}{5} :1$

$\Large\bold{B:C=4:7}$

~Dividing By 4 = $\large1 : \frac{7}{4}$

~Now we get A : B : C as

$\Large \frac{3}{5} :1 :\frac{7}{4} \\ \\ =\large \frac{3}{5} : \frac{1}{1} : \frac{7}{4}$

~Now, we convert them into like fractions

$\large \bold {LCM= 5 \times 4 = 20}$

$\large \color{red}{\frac{3}{5}} \color{black} = \frac{3}{5} \times \frac{4}{4} \\ \\ = \color{purple}{\frac{12}{20}}$

$\large \color{red}{\frac{1}{1}} \color{black} = \frac{1}{1} \times \frac{20}{20} \\ \\ = \color{purple}{\frac{20}{20}}$

$\large \color{red}{\frac{7}{4}} \color{black} = \frac{7}{4} \times \frac{5}{5} \\ \\ = \color{purple}{\frac{35}{20}}$

$\large \bold{Final \: fractions = } \: \large \frac{12}{20} \frac{20}{20} \frac{35}{20}$

$\large \bold {\therefore \: a : b :c = \underline{12 : 20 : 35}}$