Simplify the Expression(-8/15)+(1/15).

Show how to simplify in steps, using a property of operations for each step. Explain the property you use in each step.
Can you help me please?

Yes, I can definitely help you with that. To simplify the expression (-8/15) + (1/15), we can follow these steps:

Step 1: Start by combining the two fractions by adding their numerators while keeping the same denominator:
(-8/15) + (1/15) = (-8 + 1)/15

Step 2: Simplify the numerator:
(-8 + 1)/15 = -7/15

So, the simplified expression is -7/15.

Now, let me explain the properties of operations used in each step:

1. Addition of fractions with the same denominator:
The property of addition allows us to add fractions by keeping the denominators the same and simply adding the numerators. For example, to add fractions like a/b + c/b, we can keep the denominator as b and add the numerators, resulting in (a + c)/b.

In our given expression, we added the numerators (-8 and 1) while keeping the denominator (15) the same.

2. Simplification of fractions:
In step 2, we simplified the fraction by reducing the numerator and denominator to their simplest form. In this case, -7 and 15 have no common factors other than 1, so we couldn't simplify the fraction any further.

I hope this explanation helps you understand how to simplify the given expression. If you have any further questions, feel free to ask!

Step 1: To simplify the expression (-8/15) + (1/15), first combine the numerators of the fractions since they have the same denominator. The numerator of the first fraction is -8, and the numerator of the second fraction is 1.

(-8/15) + (1/15) = (-8 + 1)/15

Explanation: The property of operations used here is the addition property, which states that when adding fractions with the same denominator, we add the numerators while keeping the denominator the same.

Step 2: Perform the subtraction in the numerator.
-8 + 1 = -7

Thus, (-8/15) + (1/15) = (-7/15)

Explanation: Subtracting the numerators is another application of the addition property.

In conclusion, the simplified expression is -7/15.