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Chapter 1: Problem 20

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

Short Answer

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

Step by step solution

01

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.
02

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 \( -\frac{8}{8} \).
03

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.

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