how to solve the following ratio?

Question

A:B =4:6
B:C=5:7
my question is how to convert the above into A:B:C

Answer 1

since both ratios have B
make both Bs the same
lowest common multiple of 6 and 5 is 30
A : B
4 : 6
20 : 30
B : C
5 : 7
30 : 42
A : B : C
20 : 30 : 42
10: 15 : 21

Answer 2

A:B=4:6
A/B=4/6=20/30

B/C=5/7=30/42

So A:B:C=20:30:42

Answer 3

The trick here is to make the value of B in both ratios the same.

A : B = 4: 6
B : C = 5 : 7

In the first ratio, B is 6 and in the second, it is 5. Find LCM of 6 and 5. It is 30. Now multiply both numerator and denominator of the ratios appropriately such that the value of B = 30

A : B = 4 : 6

Multiply by 5
4/6 * (5/5) = 20/30

B : C = 5 : 7

Multiply by 6
(5/7) * (6/6) = 30/42

Now you are ready to write A : B : C

When B = 30, A = 20 and C = 42

So,
A : B : C = 20: 30 : 42 = 10 : 15 : 21 (simplified)

Answer 4

A:B=4:6=2:3 =10:15
B:C=5:7=15:21

A:B:C=10:15:21

Answer 5

I think you should normalize with respect to B so I would divide the first ratio by six and likewise the second by 5 you get

(4/6):1
and
1:(7/5)

quite easily then

A:B:C is (4/6):1:(7/5)

which by my convention will simplify to

= (20/6):5:7

=(10/3):5:7

= 10:15:21

Answer 6

A:B = 4:6 = (4x5):(6x5) = 20:30

B:C = 5:7 = (5x6):(7x6) = 30:42

Now B is the same so u can put it in the form

A:B:C = 20:30:42 or

A:B:C = 10:15:21 if u divide all by 2.

Answer 7

A:B = 20:30
B:C = 30:42
A:B:C = 20:30:42
A:B:C = 10:15:21