How is -32/20 + 15/20 = -17/20 and not 47

/20?

To add fractions, you need to have a common denominator. In this case, the common denominator is 20.

-32/20 + 15/20 = (-32 + 15)/20 = -17/20, which is an equivalent fraction in simplest form.

It is not correct to get 47/20 as the answer because that would mean adding the numerators without considering the denominators, which is not how fractions are added.

you get -17/20 because the larger fraction is negative..

32+15 = 47
-32+15 = -17 (same as 15-32 = -17)

You are correct that the larger fraction being negative plays a role in determining the sign of the sum.

However, when adding fractions, it is important to consider the denominator as well as the numerator. Each fraction needs to have the same denominator before adding the numerators.

In this case, -32/20 and 15/20 have a common denominator of 20, so we can add them as follows:

-32/20 + 15/20 = (-32 + 15)/20 = -17/20

So the correct answer is indeed -17/20, which is the simplified form of the fraction.

To solve this equation, we need to add the two fractions together: -32/20 + 15/20.

Step 1: Rewrite the fractions with a common denominator. In this case, the common denominator is 20.
-32/20 + 15/20 = -32/20 + 15/20

Step 2: Combine the numerators while keeping the common denominator.
-32 + 15 = -17

Step 3: Write the combined numerator over the common denominator.
-17/20

Therefore, the correct answer is -17/20. It is important to note that the result is a fraction, not the whole number 47.