Question

if a/b = 2/5 and b/c = 4/3, find a+b/b+c​

Answer 1

Step-by-step explanation:

a/b = 2/5

= (a+b) + 1 = (2/5)+1

=> (a+b)/b = (7/5)

=> a+b = (7b/5) ........@1

=> b/c = 4/3

=> (b/c)+1 = (4/3)+1

=> (b+c)/c = (7/3)

=> (b+c) = (7c/3) .....@2

divide @1 by @2

=> (a+b)/(b+c) = (7b/5) / (7c/3)

=> (a+b)/(b+c) = (3b/5c)

=> (a+b)/(b+c) = (3/5)*(b/c)

=> (a+b)/(b+c) = (3/5) * (4/3)

=> (a+b)/(b+c) = 4/5

Answer 2

Step-by-step explanation:

a/b=2/5

b/c=4/3

then,

a+b/b+c

=2/5/4/3

=2×3/5×4

=6/20

=3/10

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