   Chapter 2.4, Problem 28E

Chapter
Section
Textbook Problem

Perform the indicated operations and simplify: ( − 3 2 ) + ( − 8 3 )

To determine

To calculate: The simplified form of the expression (32)+(83) by performing the indicated operation.

Explanation

Given Information:

The provided expression is (32)+(83).

Formula used:

Equivalent signed fractions:

ab=ab=ab

The equivalent signed fraction shows that a negative fraction can be written in three different but equivalent forms.

Where,

ab is the customary form.

And,

Adding two numbers with like signs includes:

1. In order to add two positive numbers, their absolute values must be added-up. And as a result, a positive value will be obtained.

2. And in order to add two negative numbers, their absolute values must be added-up and a negative sign should be placed before the result.

Calculation:

Consider the expression:

(32)+(83)

First, change the given expression to customary form. That is,

(32)+(83)=(32)+(83)

When fractions having different denominator are to be added; first step is to find the least common denominator (LCD)

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