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Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580

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BuyFindarrow_forward

Elementary Technical Mathematics

12th Edition
Dale Ewen
ISBN: 9781337630580
Textbook Problem

A finished product consists of four components that will be assembled and packaged for shipment. The box manufacturer has requested the total product weight be on the drawing so that the appropriate strength cardboard is used. What is the product weight? (1 lb = 16 oz)

Part Weight each
1234 3 1 2  oz 33 1 8  oz 6 lb 10 1 3  oz

To determine

To Calculate: The product weight of a finished product if, it has four components which will be assembled and packaged for shipment. The box manufacturer also requested to make full use of appropriate strength of the cardboard and 1lb=16oz. The details of the components are below:

PartWeight1312oz23318oz36lb41013oz

Explanation

Given Information:

A finished product has four components which will be assembled and packaged for shipment, the component details are:

PartWeight1312oz23318oz36lb41013oz

Formula used:

Addition of Fractions by Least Common Denominator using Inspection Method:

Step 1: Express the denominator of fraction part of mixed number in its prime factors.

Step 2: Now, write down each prime factor the number of times it appears most in any one denominator.

Step 3: The product of these prime factors is the LCD (least common denominator).

Step 4: Now, change each fraction part of the mixed number into an equivalent fraction with LCD as the denominator.

Step 5: Then add the fractions and the whole numbers.

Step 6: Add these two results and then simplify, that is convert the sum into mixed or a whole number, if required.

Calculation:

The finished product contains four components of which details are

PartWeight1312oz23318oz36lb41013oz

First convert 16lb into oz as:

6lb=6×16=96oz

Now, the weight of the product can be calculated as:

Weight=312+3318+96+1013

To calculate the above expression, one has to first find the least common denominator of the proper fraction of the mixed numbers,

Now, expression each denominator into prime factors:

2=28=2223=3

In the above expression the prime factor, 2 appears most 3 times and the prime factor,3 appears only 1 time

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P-73ESect-1.12 P-74ESect-1.13 P-1ESect-1.13 P-2ESect-1.13 P-3ESect-1.13 P-4ESect-1.13 P-5ESect-1.13 P-6ESect-1.13 P-7ESect-1.13 P-8ESect-1.13 P-9ESect-1.13 P-10ESect-1.13 P-11ESect-1.13 P-12ESect-1.13 P-13ESect-1.13 P-14ESect-1.13 P-15ESect-1.13 P-16ESect-1.13 P-17ESect-1.13 P-18ESect-1.13 P-19ESect-1.13 P-20ESect-1.13 P-21ESect-1.13 P-22ESect-1.13 P-23ESect-1.13 P-24ESect-1.13 P-25ESect-1.13 P-26ESect-1.13 P-27ESect-1.13 P-28ESect-1.13 P-29ESect-1.13 P-30ESect-1.13 P-31ESect-1.13 P-32ESect-1.13 P-33ESect-1.13 P-34ESect-1.13 P-35ESect-1.13 P-36ESect-1.13 P-37ESect-1.13 P-38ESect-1.13 P-39ESect-1.13 P-40ESect-1.13 P-41ESect-1.13 P-42ESect-1.13 P-43ESect-1.13 P-44ESect-1.13 P-45ESect-1.13 P-46ESect-1.13 P-47ESect-1.13 P-48ESect-1.13 P-49ESect-1.13 P-50ESect-1.13 P-51ESect-1.13 P-52ESect-1.13 P-53ESect-1.13 P-54ESect-1.13 P-55ESect-1.13 P-56ESect-1.13 P-57ESect-1.13 P-58ESect-1.13 P-59ESect-1.13 P-60ESect-1.13 P-61ESect-1.13 P-62ESect-1.13 P-63ESect-1.13 P-64ESect-1.13 P-65ESect-1.13 P-66ESect-1.13 P-67ESect-1.13 P-68ESect-1.13 P-69ESect-1.13 P-70ESect-1.13 P-71ESect-1.13 P-72ESect-1.13 P-73ESect-1.13 P-74ESect-1.13 P-75ESect-1.13 P-76ESect-1.13 P-77ESect-1.13 P-78ESect-1.13 P-79ESect-1.13 P-80ESect-1.13 P-81ESect-1.14 P-1ESect-1.14 P-2ESect-1.14 P-3ESect-1.14 P-4ESect-1.14 P-5ESect-1.14 P-6ESect-1.14 P-7ESect-1.14 P-8ESect-1.14 P-9ESect-1.14 P-10ESect-1.14 P-11ESect-1.14 P-12ESect-1.14 P-13ESect-1.14 P-14ESect-1.14 P-15ESect-1.14 P-16ESect-1.14 P-17ESect-1.14 P-18ESect-1.14 P-19ESect-1.14 P-20ESect-1.14 P-21ESect-1.14 P-22ESect-1.14 P-23ESect-1.14 P-24ESect-1.14 P-25ESect-1.14 P-26ESect-1.14 P-27ESect-1.14 P-28ESect-1.14 P-29ESect-1.14 P-30ESect-1.14 P-31ESect-1.14 P-32ESect-1.14 P-33ESect-1.14 P-34ESect-1.14 P-35ESect-1.14 P-36ESect-1.14 P-37ESect-1.14 P-38ESect-1.14 P-39ESect-1.14 P-40ESect-1.14 P-41ESect-1.14 P-42ESect-1.14 P-43ESect-1.14 P-44ESect-1.14 P-45ESect-1.14 P-46ESect-1.14 P-47ESect-1.14 P-48ESect-1.14 P-49ESect-1.14 P-50ESect-1.14 P-51ESect-1.14 P-52ESect-1.14 P-53ESect-1.14 P-54ESect-1.14 P-55ESect-1.14 P-56ESect-1.14 P-57ESect-1.14 P-58ESect-1.14 P-59ESect-1.14 P-60ESect-1.15 P-1ESect-1.15 P-2ESect-1.15 P-3ESect-1.15 P-4ESect-1.15 P-5ESect-1.15 P-6ESect-1.15 P-7ESect-1.15 P-8ESect-1.15 P-9ESect-1.15 P-10ESect-1.15 P-11ESect-1.15 P-12ESect-1.15 P-13ESect-1.15 P-14ESect-1.15 P-15ESect-1.15 P-16ESect-1.15 P-17ESect-1.15 P-18ESect-1.15 P-19ESect-1.15 P-20ESect-1.15 P-21ESect-1.15 P-22ESect-1.16 P-1ESect-1.16 P-2ESect-1.16 P-3ESect-1.16 P-4ESect-1.16 P-5ESect-1.16 P-6ESect-1.16 P-7ESect-1.16 P-8ESect-1.16 P-9ESect-1.16 P-10ESect-1.16 P-11ESect-1.16 P-12ESect-1.16 P-13ESect-1.16 P-14ESect-1.16 P-15ESect-1.16 P-16ESect-1.16 P-17ESect-1.16 P-18ESect-1.16 P-19ESect-1.16 P-20ESect-1.16 P-21ESect-1.16 P-22ESect-1.16 P-23ESect-1.16 P-24ESect-1.16 P-25ESect-1.16 P-26ESect-1.16 P-27ESect-1.16 P-28ESect-1.16 P-1RSect-1.16 P-2RSect-1.16 P-3RSect-1.16 P-4RSect-1.16 P-5RSect-1.16 P-6RSect-1.16 P-7RSect-1.16 P-8RSect-1.16 P-9RSect-1.16 P-10RSect-1.16 P-11RSect-1.16 P-12RSect-1.16 P-13RSect-1.16 P-14RSect-1.16 P-15RSect-1.16 P-16RSect-1.16 P-17RSect-1.16 P-18RSect-1.16 P-19RSect-1.16 P-20RCh-1 P-1RCh-1 P-2RCh-1 P-3RCh-1 P-4RCh-1 P-5RCh-1 P-6RCh-1 P-7RCh-1 P-8RCh-1 P-9RCh-1 P-10RCh-1 P-11RCh-1 P-12RCh-1 P-13RCh-1 P-14RCh-1 P-15RCh-1 P-16RCh-1 P-17RCh-1 P-18RCh-1 P-19RCh-1 P-20RCh-1 P-21RCh-1 P-22RCh-1 P-23RCh-1 P-24RCh-1 P-25RCh-1 P-26RCh-1 P-27RCh-1 P-28RCh-1 P-29RCh-1 P-30RCh-1 P-31RCh-1 P-32RCh-1 P-33RCh-1 P-34RCh-1 P-35RCh-1 P-36RCh-1 P-37RCh-1 P-38RCh-1 P-39RCh-1 P-40RCh-1 P-41RCh-1 P-42RCh-1 P-43RCh-1 P-44RCh-1 P-45RCh-1 P-46RCh-1 P-47RCh-1 P-48RCh-1 P-49RCh-1 P-50RCh-1 P-51RCh-1 P-52RCh-1 P-53RCh-1 P-54RCh-1 P-55RCh-1 P-56RCh-1 P-57RCh-1 P-58RCh-1 P-59RCh-1 P-60RCh-1 P-61RCh-1 P-62RCh-1 P-63RCh-1 P-64RCh-1 P-65RCh-1 P-66RCh-1 P-67RCh-1 P-68RCh-1 P-1TCh-1 P-2TCh-1 P-3TCh-1 P-4TCh-1 P-5TCh-1 P-6TCh-1 P-7TCh-1 P-8TCh-1 P-9TCh-1 P-10TCh-1 P-11TCh-1 P-12TCh-1 P-13TCh-1 P-14TCh-1 P-15TCh-1 P-16TCh-1 P-17TCh-1 P-18TCh-1 P-19TCh-1 P-20TCh-1 P-21TCh-1 P-22TCh-1 P-23TCh-1 P-24TCh-1 P-25TCh-1 P-26TCh-1 P-27TCh-1 P-28TCh-1 P-29TCh-1 P-30TCh-1 P-31TCh-1 P-32TCh-1 P-33TCh-1 P-34TCh-1 P-35TCh-1 P-36TCh-1 P-37TCh-1 P-38TCh-1 P-39TCh-1 P-40TCh-1 P-41TCh-1 P-42TCh-1 P-43TCh-1 P-44T

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