If a/4 = b/7, what is the value of (a-b) / b?
First we will find out the values of a
a/4=b/7
a=4b/7
Now
(a-b)/b
{4b/7-b}/b
(4b-7b)/7b
-3b/7b
-3/7
The value is \(\dfrac{-3}{7}\).
It is in the form of numerator and denominator.
Given
\(\dfrac{a}{4} =\dfrac{b}{7}\\\\{a} =\dfrac{4b}{7}\)
\(\dfrac{(a-b)}{b} \\\\\dfrac{(\dfrac{4b}{7} -b)}{b}\\\\\dfrac{(\dfrac{4-7}{7} )b}{b} \\\\\dfrac{-3}{7}\)
Thus, the value is \(\dfrac{-3}{7}\).
More about rational number link is given below.
https://brainly.com/question/9466779