Chapter 2.4, Problem 31E

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12th Edition

Dale Ewen

ISBN: 9781337630580

Textbook Problem

Perform the indicated operations and simplify:

To determine

**To calculate:** The simplified form of the expression

Explanation

**Given Information:**

The provided expression is

**Formula used:**

Equivalent signed fractions:

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

Where,

And,

Subtracting two signed numbers includes:

**Calculation:**

Consider the expression:

Rewrite

Change the given expression to customary form. That is,

Now, in order to subtract two signed numbers, the sign of the number being subtracted must be changed and then added in accordance with the rules for addition of signed numbers. That is,

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

Sect-2.1 P-1SNDSect-2.1 P-2SNDSect-2.1 P-3SNDSect-2.1 P-4SNDSect-2.1 P-5SNDSect-2.1 P-6SNDSect-2.1 P-7SNDSect-2.1 P-8SNDSect-2.1 P-9SNDSect-2.1 P-10SND

Sect-2.1 P-11SNDSect-2.1 P-12SNDSect-2.1 P-13SNDSect-2.1 P-14SNDSect-2.1 P-15SNDSect-2.1 P-16SNDSect-2.1 P-17SNDSect-2.1 P-18SNDSect-2.1 P-19SNDSect-2.1 P-20SNDSect-2.1 P-21SNDSect-2.1 P-22SNDSect-2.1 P-23SNDSect-2.1 P-24SNDSect-2.1 P-25SNDSect-2.1 P-26SNDSect-2.1 P-27SNDSect-2.1 P-28SNDSect-2.1 P-29SNDSect-2.1 P-30SNDSect-2.1 P-1ESect-2.1 P-2ESect-2.1 P-3ESect-2.1 P-4ESect-2.1 P-5ESect-2.1 P-6ESect-2.1 P-7ESect-2.1 P-8ESect-2.1 P-9ESect-2.1 P-10ESect-2.1 P-11ESect-2.1 P-12ESect-2.1 P-13ESect-2.1 P-14ESect-2.1 P-15ESect-2.1 P-16ESect-2.1 P-17ESect-2.1 P-18ESect-2.1 P-19ESect-2.1 P-20ESect-2.1 P-21ESect-2.1 P-22ESect-2.1 P-23ESect-2.1 P-24ESect-2.1 P-25ESect-2.1 P-26ESect-2.1 P-27ESect-2.1 P-28ESect-2.1 P-29ESect-2.1 P-30ESect-2.1 P-31ESect-2.1 P-32ESect-2.1 P-33ESect-2.1 P-34ESect-2.1 P-35ESect-2.1 P-36ESect-2.1 P-37ESect-2.1 P-38ESect-2.1 P-39ESect-2.1 P-40ESect-2.1 P-41ESect-2.1 P-42ESect-2.1 P-43ESect-2.1 P-44ESect-2.1 P-45ESect-2.1 P-46ESect-2.1 P-47ESect-2.1 P-48ESect-2.1 P-49ESect-2.1 P-50ESect-2.1 P-51ESect-2.1 P-52ESect-2.1 P-53ESect-2.1 P-54ESect-2.1 P-55ESect-2.1 P-56ESect-2.1 P-57ESect-2.1 P-58ESect-2.1 P-59ESect-2.1 P-60ESect-2.1 P-61ESect-2.1 P-62ESect-2.1 P-63ESect-2.1 P-64ESect-2.1 P-65ESect-2.1 P-66ESect-2.1 P-67ESect-2.1 P-68ESect-2.1 P-69ESect-2.1 P-70ESect-2.2 P-1SNDSect-2.2 P-2SNDSect-2.2 P-3SNDSect-2.2 P-4SNDSect-2.2 P-5SNDSect-2.2 P-6SNDSect-2.2 P-7SNDSect-2.2 P-8SNDSect-2.2 P-9SNDSect-2.2 P-10SNDSect-2.2 P-11SNDSect-2.2 P-12SNDSect-2.2 P-13SNDSect-2.2 P-14SNDSect-2.2 P-15SNDSect-2.2 P-16SNDSect-2.2 P-17SNDSect-2.2 P-18SNDSect-2.2 P-19SNDSect-2.2 P-20SNDSect-2.2 P-21SNDSect-2.2 P-22SNDSect-2.2 P-23SNDSect-2.2 P-24SNDSect-2.2 P-25SNDSect-2.2 P-26SNDSect-2.2 P-27SNDSect-2.2 P-28SNDSect-2.2 P-29SNDSect-2.2 P-30SNDSect-2.2 P-1ESect-2.2 P-2ESect-2.2 P-3ESect-2.2 P-4ESect-2.2 P-5ESect-2.2 P-6ESect-2.2 P-7ESect-2.2 P-8ESect-2.2 P-9ESect-2.2 P-10ESect-2.2 P-11ESect-2.2 P-12ESect-2.2 P-13ESect-2.2 P-14ESect-2.2 P-15ESect-2.2 P-16ESect-2.2 P-17ESect-2.2 P-18ESect-2.2 P-19ESect-2.2 P-20ESect-2.2 P-21ESect-2.2 P-22ESect-2.2 P-23ESect-2.2 P-24ESect-2.2 P-25ESect-2.2 P-26ESect-2.2 P-27ESect-2.2 P-28ESect-2.2 P-29ESect-2.2 P-30ESect-2.2 P-31ESect-2.2 P-32ESect-2.2 P-33ESect-2.2 P-34ESect-2.2 P-35ESect-2.2 P-36ESect-2.2 P-37ESect-2.2 P-38ESect-2.2 P-39ESect-2.2 P-40ESect-2.2 P-41ESect-2.2 P-42ESect-2.2 P-43ESect-2.2 P-44ESect-2.2 P-45ESect-2.2 P-46ESect-2.2 P-47ESect-2.2 P-48ESect-2.2 P-49ESect-2.2 P-50ESect-2.2 P-51ESect-2.2 P-52ESect-2.2 P-53ESect-2.2 P-54ESect-2.2 P-55ESect-2.2 P-56ESect-2.2 P-57ESect-2.2 P-58ESect-2.2 P-59ESect-2.2 P-60ESect-2.3 P-1SNDSect-2.3 P-2SNDSect-2.3 P-3SNDSect-2.3 P-4SNDSect-2.3 P-5SNDSect-2.3 P-6SNDSect-2.3 P-7SNDSect-2.3 P-8SNDSect-2.3 P-9SNDSect-2.3 P-10SNDSect-2.3 P-11SNDSect-2.3 P-12SNDSect-2.3 P-13SNDSect-2.3 P-14SNDSect-2.3 P-15SNDSect-2.3 P-16SNDSect-2.3 P-17SNDSect-2.3 P-18SNDSect-2.3 P-19SNDSect-2.3 P-20SNDSect-2.3 P-21SNDSect-2.3 P-22SNDSect-2.3 P-23SNDSect-2.3 P-24SNDSect-2.3 P-25SNDSect-2.3 P-26SNDSect-2.3 P-27SNDSect-2.3 P-28SNDSect-2.3 P-29SNDSect-2.3 P-30SNDSect-2.3 P-1ESect-2.3 P-2ESect-2.3 P-3ESect-2.3 P-4ESect-2.3 P-5ESect-2.3 P-6ESect-2.3 P-7ESect-2.3 P-8ESect-2.3 P-9ESect-2.3 P-10ESect-2.3 P-11ESect-2.3 P-12ESect-2.3 P-13ESect-2.3 P-14ESect-2.3 P-15ESect-2.3 P-16ESect-2.3 P-17ESect-2.3 P-18ESect-2.3 P-19ESect-2.3 P-20ESect-2.3 P-21ESect-2.3 P-22ESect-2.3 P-23ESect-2.3 P-24ESect-2.3 P-25ESect-2.3 P-26ESect-2.3 P-27ESect-2.3 P-28ESect-2.3 P-29ESect-2.3 P-30ESect-2.3 P-31ESect-2.3 P-32ESect-2.3 P-33ESect-2.3 P-34ESect-2.3 P-35ESect-2.3 P-36ESect-2.3 P-37ESect-2.3 P-38ESect-2.3 P-39ESect-2.3 P-40ESect-2.3 P-41ESect-2.3 P-42ESect-2.3 P-43ESect-2.3 P-44ESect-2.3 P-45ESect-2.3 P-46ESect-2.3 P-47ESect-2.3 P-48ESect-2.3 P-49ESect-2.3 P-50ESect-2.3 P-51ESect-2.3 P-52ESect-2.3 P-53ESect-2.3 P-54ESect-2.3 P-55ESect-2.3 P-56ESect-2.3 P-57ESect-2.3 P-58ESect-2.3 P-59ESect-2.3 P-60ESect-2.3 P-61ESect-2.3 P-62ESect-2.3 P-63ESect-2.3 P-64ESect-2.3 P-65ESect-2.3 P-66ESect-2.3 P-67ESect-2.3 P-68ESect-2.3 P-69ESect-2.3 P-70ESect-2.3 P-71ESect-2.3 P-72ESect-2.3 P-73ESect-2.3 P-74ESect-2.3 P-75ESect-2.3 P-76ESect-2.3 P-77ESect-2.3 P-78ESect-2.3 P-79ESect-2.3 P-80ESect-2.4 P-1ESect-2.4 P-2ESect-2.4 P-3ESect-2.4 P-4ESect-2.4 P-5ESect-2.4 P-6ESect-2.4 P-7ESect-2.4 P-8ESect-2.4 P-9ESect-2.4 P-10ESect-2.4 P-11ESect-2.4 P-12ESect-2.4 P-13ESect-2.4 P-14ESect-2.4 P-15ESect-2.4 P-16ESect-2.4 P-17ESect-2.4 P-18ESect-2.4 P-19ESect-2.4 P-20ESect-2.4 P-21ESect-2.4 P-22ESect-2.4 P-23ESect-2.4 P-24ESect-2.4 P-25ESect-2.4 P-26ESect-2.4 P-27ESect-2.4 P-28ESect-2.4 P-29ESect-2.4 P-30ESect-2.4 P-31ESect-2.4 P-32ESect-2.4 P-33ESect-2.4 P-34ESect-2.4 P-35ESect-2.4 P-36ESect-2.4 P-37ESect-2.4 P-38ESect-2.4 P-39ESect-2.4 P-40ESect-2.4 P-41ESect-2.4 P-42ESect-2.4 P-43ESect-2.4 P-44ESect-2.4 P-45ESect-2.4 P-46ESect-2.5 P-1ESect-2.5 P-2ESect-2.5 P-3ESect-2.5 P-4ESect-2.5 P-5ESect-2.5 P-6ESect-2.5 P-7ESect-2.5 P-8ESect-2.5 P-9ESect-2.5 P-10ESect-2.5 P-11ESect-2.5 P-12ESect-2.5 P-13ESect-2.5 P-14ESect-2.5 P-15ESect-2.5 P-16ESect-2.5 P-17ESect-2.5 P-18ESect-2.5 P-19ESect-2.5 P-20ESect-2.5 P-21ESect-2.5 P-22ESect-2.5 P-23ESect-2.5 P-24ESect-2.5 P-25ESect-2.5 P-26ESect-2.5 P-27ESect-2.5 P-28ESect-2.5 P-29ESect-2.5 P-30ESect-2.6 P-1ESect-2.6 P-2ESect-2.6 P-3ESect-2.6 P-4ESect-2.6 P-5ESect-2.6 P-6ESect-2.6 P-7ESect-2.6 P-8ESect-2.6 P-9ESect-2.6 P-10ESect-2.6 P-11ESect-2.6 P-12ESect-2.6 P-13ESect-2.6 P-14ESect-2.6 P-15ESect-2.6 P-16ESect-2.6 P-17ESect-2.6 P-18ESect-2.6 P-19ESect-2.6 P-20ESect-2.6 P-21ESect-2.6 P-22ESect-2.6 P-23ESect-2.6 P-24ESect-2.6 P-25ESect-2.6 P-26ESect-2.6 P-27ESect-2.6 P-28ESect-2.6 P-29ESect-2.6 P-30ESect-2.6 P-31ESect-2.6 P-32ESect-2.6 P-33ESect-2.6 P-34ESect-2.6 P-35ESect-2.6 P-36ESect-2.6 P-37ESect-2.6 P-38ESect-2.6 P-39ESect-2.6 P-40ESect-2.6 P-41ESect-2.6 P-42ESect-2.6 P-43ESect-2.6 P-44ESect-2.6 P-45ESect-2.6 P-46ESect-2.6 P-47ESect-2.6 P-48ESect-2.6 P-49ESect-2.6 P-50ESect-2.6 P-51ESect-2.6 P-52ESect-2.6 P-53ESect-2.6 P-54ESect-2.6 P-55ESect-2.6 P-56ESect-2.6 P-57ESect-2.6 P-58ESect-2.6 P-59ESect-2.6 P-60ESect-2.6 P-61ESect-2.6 P-62ESect-2.6 P-63ESect-2.6 P-64ESect-2.6 P-65ESect-2.6 P-66ESect-2.6 P-67ESect-2.6 P-68ESect-2.6 P-69ESect-2.6 P-70ESect-2.6 P-71ESect-2.6 P-72ESect-2.6 P-73ESect-2.6 P-74ESect-2.6 P-75ESect-2.6 P-76ESect-2.6 P-77ESect-2.6 P-78ESect-2.6 P-79ESect-2.6 P-80ESect-2.6 P-81ESect-2.6 P-82ESect-2.7 P-1ESect-2.7 P-2ESect-2.7 P-3ESect-2.7 P-4ESect-2.7 P-5ESect-2.7 P-6ESect-2.7 P-7ESect-2.7 P-8ESect-2.7 P-9ESect-2.7 P-10ESect-2.7 P-11ESect-2.7 P-12ESect-2.7 P-13ESect-2.7 P-14ESect-2.7 P-15ESect-2.7 P-16ESect-2.7 P-17ESect-2.7 P-18ESect-2.7 P-19ESect-2.7 P-20ESect-2.7 P-21ESect-2.7 P-22ESect-2.7 P-23ESect-2.7 P-24ESect-2.7 P-25ESect-2.7 P-26ESect-2.7 P-27ESect-2.7 P-28ESect-2.7 P-29ESect-2.7 P-30ESect-2.7 P-31ESect-2.7 P-32ESect-2.7 P-33ESect-2.7 P-34ESect-2.7 P-35ESect-2.7 P-36ESect-2.7 P-37ESect-2.7 P-38ESect-2.7 P-39ESect-2.7 P-40ECh-2 P-1RCh-2 P-2RCh-2 P-3RCh-2 P-4RCh-2 P-5RCh-2 P-6RCh-2 P-7RCh-2 P-8RCh-2 P-9RCh-2 P-10RCh-2 P-11RCh-2 P-12RCh-2 P-13RCh-2 P-14RCh-2 P-15RCh-2 P-16RCh-2 P-17RCh-2 P-18RCh-2 P-19RCh-2 P-20RCh-2 P-21RCh-2 P-22RCh-2 P-23RCh-2 P-24RCh-2 P-25RCh-2 P-26RCh-2 P-27RCh-2 P-28RCh-2 P-29RCh-2 P-30RCh-2 P-31RCh-2 P-32RCh-2 P-33RCh-2 P-34RCh-2 P-35RCh-2 P-36RCh-2 P-37RCh-2 P-38RCh-2 P-39RCh-2 P-40RCh-2 P-41RCh-2 P-42RCh-2 P-43RCh-2 P-44RCh-2 P-45RCh-2 P-46RCh-2 P-47RCh-2 P-48RCh-2 P-49RCh-2 P-50RCh-2 P-1TCh-2 P-2TCh-2 P-3TCh-2 P-4TCh-2 P-5TCh-2 P-6TCh-2 P-7TCh-2 P-8TCh-2 P-9TCh-2 P-10TCh-2 P-11TCh-2 P-12TCh-2 P-13TCh-2 P-14TCh-2 P-15TCh-2 P-16TCh-2 P-17TCh-2 P-18TCh-2 P-19TCh-2 P-20TCh-2 P-21TCh-2 P-22TCh-2 P-23TCh-2 P-24TCh-2 P-25TCh-2 P-26TCh-2 P-27TCh-2 P-28TCh-2 P-29TCh-2 P-30TCh-2 P-31TCh-2 P-32TCh-2 P-33TCh-2 P-34TCh-2 P-35TCh-2 P-1CRCh-2 P-2CRCh-2 P-3CRCh-2 P-4CRCh-2 P-5CRCh-2 P-6CRCh-2 P-7CRCh-2 P-8CRCh-2 P-9CRCh-2 P-10CRCh-2 P-11CRCh-2 P-12CRCh-2 P-13CRCh-2 P-14CRCh-2 P-15CRCh-2 P-16CRCh-2 P-17CRCh-2 P-18CRCh-2 P-19CRCh-2 P-20CRCh-2 P-21CRCh-2 P-22CRCh-2 P-23CRCh-2 P-24CRCh-2 P-25CRCh-2 P-26CRCh-2 P-27CRCh-2 P-28CRCh-2 P-29CRCh-2 P-30CRCh-2 P-31CRCh-2 P-32CRCh-2 P-33CR

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