Question

Find a:c and a:b:c of a:b =4:5, b:c=3;5
pls ans with explanation ​

Answer 1

Here's the solution,

a : b = 4 : 5

b : c = 3 : 5

now, we can combine the ratios if the value of b is equal in both of them, and we have to make sure it's the minimum value since we have to obtain it in the simplest form, so let's take the L.C.M of b in both proportions .

L.C.M of b in both ratios is 15

so

ratio 1.)

• a : b = 4 : 5
• a : b = 12 : 15

( just multiplied both numbers by 3 to make b = 15 )

ratio 2.)

• b : c = 3 : 5
• b : c = 15 : 25

( just multiplied both numbers by 5 to make b = 15)

now, simply combine the equations to get,

a : b : c = 12 : 15 : 25

and hence,

a : c = 12 : 25