we have
4 2/4 × 2 2/4 - 6 4/6
step 1
Convert mixed number to an improper fraction
4 2/4=4 1/2=4+1/2=9/2
2 2/4=2 1/2=2+1/2=5/2
6 4/6=6 2/3=6+2/3=20/3
substitute
(9/2)x(5/2)-(20/3)
Solve the multiplication first
(45/4)-20/3
Solve the subtraction
Multiply (45/4) by (3/3)-----> 135/12
Multiply 20/3 by 4/4 -----> 80/12
Now, both fractions have the same denominator
so
135/12-80/12=(135-80)/12
=55/12
Convert to mixed number
55/12=48/12+7/12=4+7/12=4 7/12
answer is
4 7/12