   Chapter 2.II, Problem 1RE ### 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

# Find the least common denominator for the following groups of fractions. For problems 1-3, try finding the LCD by inspection (i.e., mentally) first, then use the prime-number method. 4 5 ,   2 3 ,   8 15           3 5 | 5     3     15 5     1         5 _                                                         1       1       1 3 × 5 = 15 _ _   LCD

To determine

To calculate: The least common denominator for the fraction, 45,23,815 by inspection and then with the use of the prime number method.

Explanation

Given information:

The provided fraction is, 45,23,815.

Formula used:

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 following fraction,

45,23,815

To find the LCD by inspection, just use the definition of Least Common Denominator that is it is a smallest number that is a multiple of each of the given denominators.

Now the denominators are 5,3 and 15.

Multiples of 5 are, 5,10,15,20 and so on

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