Question

if a:b=5:7 and b:c=14:15 find a:c​

Answer 1

Answer:

5:15;

that gives

1:3=a:c

Answer 2

Answer:

2:3

Step-by-step explanation:

a:b = 5:7

$\frac{a}{b} = \frac{5}{7}$

b = $\frac{7a}{5}$ .... (i)

b:c = 14:15

$\frac{b}{c} = \frac{14}{15}$

b = $\frac{14c}{15}$ ....(ii)

From (i) and (ii)

$\frac{7a}{5}$ = $\frac{14c}{15}$

$\frac{7a}{14c}$ = $\frac{5}{15}$

$\frac{a}{2c}$ = $\frac{1}{3}$

$\frac{a}{c}$ = $\frac{2}{3}$

a:c = 2:3