You can
put this solution on YOUR website!if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4. if the reciprocal of the original fraction is decreased by 1, the resulting fraction is 16/9. find the original fraction.
:
Let "a certain fraction" =
and
"if the numerator of a certain fraction is increased by 6 and its denominator is decreased by 5, the resulting fraction is equal to 3/4."
=
and
"If the reciprocal of the original fraction is decreased by 1, the resulting fraction is 16/9."
- 1 =
Add 1 to both sides:
=
+
=
That means:
n = 9
-- --- is the original fraction
d = 25
:
Using the 1st statment to check this:
=
=
