To find the fractions with a two-digit denominator that are equivalent to 1/5, we need to find the fractions where the numerator is a multiple of 1 and the denominator is a multiple of 5.

The two-digit multiples of 5 are 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95.

Out of these, the fractions that are equivalent to 1/5 are:

1/10, 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, 8/40, 9/45, 10/50, 11/55, 12/60, 13/65, 14/70, 15/75, 16/80, 17/85, 18/90, 19/95.

So, there are 19 fractions with a two-digit denominator that are equivalent to 1/5.