   Chapter 2.III, Problem 10RE ### 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

# Multiply the following fractions and reduce to lowest terms. Use cancellation whenever possible. 1 2 × 2 3 × 4 5 × 3 4 × 5 1

To determine

To calculate: The value of the product 12×23×45×34×51 in the lowest term.

Explanation

Given information:

The provided expression is 12×23×45×34×51

Formula used:

Multiplication and Reduction:

Step 1: Simply write the multiplication of fractions.

Step 2: Find a common factor which divides at least one of the numerators and one of the denominators evenly.

Step 3: Divide the numerator and denominator by the corresponding common factor to reduce the expression.

Step 4: Repeat this process until there are no more common factors other than 1.

Step 5: Now, multiply all the simplified numerators to form the new numerator and all he denominators to form the new denominator.

Calculation:

Consider the expression, 12×23×45×34×51

The 2 in the numerator and 2 in the denominator have a common factor 2.

So, divide 2 in the numerator and 2 in the denominator by the common factor 2:

121×213×45×34×51=11×13×45×34×51

Here in this obtained expression 3 in the numerator and 3 in the denominator have a common factor 3.

So, divide the 3 in the numerator and 3 in the denominator by the common factor 3:

11×131×45×314×51=11×11×45×14×51

In the above obtained expression 4 in the numerator and 4 in the denominator have a common factor 4

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