Question

Evaluate 123 ÷ (-13) - 12. Enter your answer as a mixed number in simplest form.

Answer 1

Dividing 123 by -13 results in -9 and a remainder of 6, making part of the answer -9 6/13. Subtracting 12 from this value gives -21 6/13. Thus, the mixed number in simplest form is -21 6/13.

Step-by-step explanation:

To evaluate 123 ÷ (-13) - 12 and enter the answer as a mixed number in simplest form, we can follow these steps:

1. Divide 123 by -13, which is the division of a positive number by a negative number, resulting in a negative quotient by the multiplication rules for signs.
2. 123 ÷ (-13) equals -9.461538462, but since we are looking for a mixed number, we take the integer part which is -9, and the remainder is 6 (because 123 - (13 * 9) = 6).
3. Convert the improper fraction (-6/13) to a mixed number. Since the whole number part is negative, we keep the mixed number negative. Thus, we get -9 6/13 as the division part.
4. For the subtraction part, subtract 12 from -9 6/13 which results in -9 6/13 - 12. Since subtracting a positive number makes the negative value larger, think of this as adding a negative 12.
5. -9 6/13 - 12 is equivalent to -9 6/13 + (-12), which is -21 6/13.

The mixed number in simplest form is therefore -21 6/13.