Evaluate the expression shown below and write your answer as a mixed number in simplest form: 1 2/3 times -1 1/2
To evaluate 1 2/3 times -1 1/2, we first need to convert the mixed numbers into improper fractions.
1 2/3 can be written as (3 * 1 + 2)/3 = 5/3.
-1 1/2 can be written as (2 * -1 + 1)/2 = -1/2.
Now, we can multiply the fractions:
(5/3) * (-1/2) = (5 * -1)/(3 * 2) = -5/6.
The expression 1 2/3 times -1 1/2 is equal to -5/6.
To write this as a mixed number in simplest form, we need to divide the numerator (-5) by the denominator (6):
-5 ÷ 6 = -0 remainder 5.
Thus, the expression simplifies to -0 5/6 or simply -5/6 in simplest form.