To subtract these fractions, we need to find a common denominator. The least common multiple of 7 and 5 is 35.

First, convert 4/7 to a fraction with a denominator of 35:
4/7 * 5/5 = 20/35

Next, convert -6/5 to a fraction with a denominator of 35:
-6/5 * 7/7 = -42/35

Now we can subtract the fractions:
20/35 - 42/35 = -22/35

Therefore, 4/7 - 6/5 = -22/35.