If the numerator of a fraction is increased by 12% and its denominator is reduced by 8%, it gives a new fraction
17
16
​
. What is the original fraction?

Let the original fraction be
y
x
​
.

According to the question:

The numerator is increased by 12%⟹1.12x

The denominator is decreased by 8%⟹0.92y

The new fraction equation is:

0.92y
1.12x
​
=
17
16
​

92y
112x
​
=
17
16
​

Now, solve for
y
x
​
:

y
x
​
=
17
16
​
×
112
92
​

Since
16
112
​
=7:

y
x
​
=
17×7
92
​

y
x
​
=
119
92
​