What is (4/9-7/15) divided by 13/10

First find least common denominator to subtract.

9 = (3) * 3

15 = (3) * 5

3*3*5=45 is lcd

4/9=20/45

7/15=21/45

(20/45-21/45) = (20-21) / 45=-1/45

-1/45:13/10

multiply by reciprocal instead of dividing

-1/45*10/13 = (1*10) / (45*13)

-10/585