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Question

If a/4 = b/7, what is the value of a−b/b?

Answer 1

Given: a/4 = b/7

Cross multiply to solve for a and b:

7a = 4b

a = 4b/7

Substitute the value of a back into the expression a - b/b:

a - b/b = (4b/7) - b/b
= (4b - 7b) / 7b
= -3b / 7b
= -3/7

Therefore, the value of a - b/b is -3/7.