Final answer:
To find two negative fractions whose product is 5/6, we can choose negative factors of 5/6 such as -5/1 and -1/6 or -2.5/1 and -2/3. Multiplying these fractions yields a positive result because a negative times a negative equals a positive.
Step-by-step explanation:
To write two fractions, both not positive, whose product is 5/6, we need to find two negative numbers that multiply to a positive number since the product of two negatives is a positive. We can choose any pair of factors of 5/6 that are negative. For instance, let's use the factors 5 and 6. We can create the fractions -5/1 and -1/6. The product of these two fractions is:
(-5/1) × (-1/6) = 5/6
Another example could be -2.5/1 and -2/3 since multiplying these two fractions also gives the product of 5/6:
(-2.5/1) × (-2/3) = 5/6
It's important to note how the product of these fractions results in a positive number because when multiplying two negative numbers, the negatives cancel out, leaving a positive result.