Problem 20 - Introductory Algebra for College Students

Question

Find each sum without the use of a number line. $$-\frac{7}{8}+\left(-\frac{1}{8}\right)$$

Step-by-Step Solution

Answer

The sum of \( -\frac{7}{8} \) and \( -\frac{1}{8} \) is -1

Step 1: Identify the problem

The task involves finding the sum of two negative fractions, -7/8 and -1/8, without using a number line. It's about the addition of fractions.

Step 2: Adding fractions

When adding or subtracting fractions with the same denominator, only the numerators are added or subtracted. So, treat \( -\frac{7}{8} \) and \( -\frac{1}{8} \) as similar terms, then the numerators -7 and -1 are added together to give \( -\frac{8}{8} \).

Step 3: Simplify if possible

Since it doesn't contribute to the understanding of the problem, simplify the fraction to \( -\frac{8}{8} = -1 \). There is no further operation required.