   Chapter 2.II, Problem 33RE ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

#### Solutions

Chapter
Section ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Hot Shot Industries manufactures metal heat shields for light fixture assemblies. What is the length, x, on the heat shield? To determine

To calculate: The length x of the provided heat shield for the light fixture assemblies. Explanation

Given information:

The provided figure of heat shield is,

Formula used:

Use the following steps for subtraction of the mixed fractions.

Step1: If the fractions of the mixed numbers have the same denominator subtract the fractions and reduce to the lowest terms.

Step2: Now if the fractions do not have the same denominator, raise them to the denominator of Least Common Denominator (LCD) and subtract. Also, when the numerator of the fraction in the minuend is less than the numerator in the subtrahend then borrow one whole unit from the whole number of the minuend which will be in the form of LCD and is added to the fraction of the minuend.

Step3: Subtract the whole numbers.

Step4: Add the difference of the whole numbers and the difference of the fractions.

Now use the following steps for determining the least common denominator of two or more fractions with the use of prime number are,

Step1: Write all the denominators in a row.

Step2: Now find a prime number that divides evenly into any of the denominators and then write that prime number to the left of the row and divide while placing all quotients and undivided numbers in the next row down.

Step3: Repeat the above process until new row contains all ones.

Step4: Multiply all the prime numbers on the left to get the LCD of the fractions.

Calculation:

Consider the data the provided figure of heat shield,

To get the length of x,

5116(158+158)=51162108=5116328==5116314

As these are unlike fractions and they must be converted to obtain the same denominator so find the LCD

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