The correct option is C -19/10
Given: (-3/2) × 4/5 + 1/20 - 3/2 × 1/2
Since 3/2 is common in the expression, using the distributive property, we have,
3/2 × [-4/5 - 1/2] + 1/20
Taking the LCM and solving the bracket, we have,
= 3/2 [(-8-5)/10] + 1/20
= 3/2 [-13/10] + 1/20
= -39/20 + 1/20
= (-39 + 1)/20
= -38/20
= -19/10