To multiply a mixed number by a whole number, you need to convert the mixed number into an improper fraction.
The mixed number given is - 1 1/6. To convert it into an improper fraction, you need to multiply the whole number (-1) by the denominator of the fraction (6), and then add the numerator. So, (-1) x 6 + 1 = -6 + 1 = -5.
Now you have the numerator (-5), and the denominator (6) remains the same. Therefore, the mixed number - 1 1/6 can be written as an improper fraction: -5/6.
Next, multiply the improper fraction (-5/6) by 7. To multiply fractions, you multiply the numerators and multiply the denominators. So, (-5/6) x 7 = (-5 x 7) / (6 x 1) = -35/6.
To express the answer as a mixed number, you need to divide the numerator (-35) by the denominator (6) and find the whole number and the remainder. Dividing -35 by 6 gives you a quotient of -5 and a remainder of 5.
Now, rewrite the mixed number using the quotient as the whole number and the remainder as the numerator, with the original denominator. So, the answer is -5 5/6.