You have the following expression:
7 (-6 1/8)
To make the product of the previous expression, first convert the mixed number to a normal fraction, just as folow:
6 1/8 = 6 + 1/8 = (48 + 1)/8 = 49/8
Next, replace the previous result in the given expression:
7 (-6 1/8)
= 7 (- 49/8) use signs multiplication rule and multiply numerators
= - 343/8
Hence, the result of the given expression is - 343/8
