Question

if 1.5a=0.04b find the b-a/b+a

Answer 1

(1.5-0.04)/(1.5+0.04)

=1.46/1.54

=146/154

=73/77

=0.948051948

Answer 2

Given:

1.5×a=0.04×b

To Find:

$\mathbf{\dfrac{b-a}{b+a}=?}$

Solution:

0.04×b = 1.5×a

Which can be written as:

$\mathbf{\dfrac{b}{a}=\dfrac{1.5}{0.04}}$

$\mathbf{\dfrac{b}{a}=\dfrac{37.5}{1}}$

By Componendo and Dividendo Rules:

$\mathbf{\dfrac{b-a}{b+a}=\dfrac{37.5-1}{37.5+1}}$

So

$\mathbf{\dfrac{b-a}{b+a}=\dfrac{36.5}{38.5}}$

$\mathbf{\dfrac{b-a}{b+a}=0.948}$  

Value of fraction is 0.948.