Start by changing both into improper fractions.
Multiply the denominator and whole number, the add the numerator.
2 x 2 + 1= 5
2 1/2= 5/2
1 x 4 + 3= 7
-1 3/4= -7/4
Now do 5/2 multiplied by the reciprocal of -7/4 which is -4/7.
5/2 x -4/7= -20/14
Simplify to -10/7 by dividing by 2
Change it to a mixed number
Answer is -1 3/7