9/14 - 19/35

To subtract these fractions, we need to find a common denominator. The least common denominator for 14 and 35 is 70.

Rewriting the fractions with a common denominator:
(9 5)/(14 5) - (19 2)/(35 2)
45/70 - 38/70

Now that the fractions have a common denominator, we can subtract the numerators:
(45 - 38)/70
7/70

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:
1/10

Therefore, 9/14 - 19/35 = 1/10.