Final answer:
To find the quotient for -1 1/5 divided by 1 1/3, convert the mixed numbers to improper fractions, multiply by the reciprocal of the second fraction, and simplify. The result is -9/10.
Step-by-step explanation:
To find the quotient for -1 1/5 divided by 1 1/3, we first need to convert the mixed numbers into improper fractions. The mixed number -1 1/5 can be converted by multiplying the whole number part by the denominator (1*5 = 5), adding the numerator (5 + 1 = 6), and then placing it over the original denominator to get -6/5. Similarly, the mixed number 1 1/3 is converted to 4/3 by performing 1*3 + 1 = 4 over the original denominator 3.
Next, we divide by multiplying by the reciprocal of the second fraction. So, taking -6/5 and multiplying by the reciprocal of 4/3, which is 3/4, we get:
-6/5 × 3/4
Multiplying the numerators together (-6 × 3 = -18) and the denominators together (5 × 4 = 20) gives us -18/20. This fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 2, resulting in:
-9/10
So, the quotient for -1 1/5 divided by 1 1/3 is -9/10.