Answer:
7/11
Step-by-step explanation:
Let d represent the original denominator. Then the original numerator is ...
2d-15
The new numerator is ...
(2d-15) +5
and the new denominator is ...
d+7
The ratio of these is 2/3, so we have ...
[tex]\dfrac{2d-15+5}{d+7}=\dfrac{2}{3}\\\\3(2d-10)=2(d+7) \quad\text{cross multiply}\\\\4d=44 \quad\text{add 30-2d}\\\\d=11\\\\2d-15=2(11)-15=7[/tex]
The original fraction is 7/11.
