Question

4. Ifa: b= 4:5 and b:C= 2:3, then a:c​

Answer 1

Answer:

a : c = 8 : 15

Step-by-step explanation:

$\text{Given:}\: \:\dfrac{a}{b} = \dfrac{4}{5} \:\:\: ; \dfrac{b}{c} = \dfrac{2}{3}$

$\implies \dfrac{a}{b} \times \dfrac{b}{c} = \dfrac{4}{5} \times \dfrac{2}{3}\\\\\text{ 'b' gets cancelled and we get,}\\\\\implies \dfrac{a}{c} = \dfrac{8}{15}$

Hence a : c = 8 : 15

Answer 2

Answer:

a:b=4:5

a/b=4/5

5a=4b

b=5a/4

b=2c/3

a:c=8:15