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Example of Simplifying a Fraction Using Prime Factorization
When it is difficult to find common factors between a numerator and denominator, simplify the fraction by factoring both into prime numbers first. For example, to simplify , rewrite it using prime factorizations: . Next, divide out the common factors of and using the Equivalent Fractions Property. Finally, multiply the remaining factors in the numerator () and the denominator () to obtain the simplified fraction .
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A logistics coordinator needs to simplify the fraction 24/60 for a quarterly shipping report. Arrange the following steps in the correct order to reduce this fraction to its simplest form according to the standard mathematical procedure.
A retail manager is analyzing sales data and needs to simplify the fraction 30/45 to include in a quarterly performance report. According to the standard three-step procedure for simplifying fractions, what is the first step the manager should perform?
A corporate trainer is developing a 'Numerical Accuracy' workshop for the accounting department. As part of the training on standardizing mathematical workflows, match each step of the standard three-step fraction simplification procedure with its corresponding action.
A quality control analyst is simplifying a ratio for a production report. According to the standard three-step procedure, if the common factors between the numerator and denominator are not immediately apparent, the analyst should rewrite both using their ____ factorizations to reveal all shared factors.
An operations analyst is reducing production ratios for a monthly efficiency report. True or False: According to the standard three-step procedure for simplifying a fraction, the final step after common factors have been divided out is to multiply any factors that remain in the numerator and the denominator.
Standardized Fraction Simplification Procedure
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An internal auditor is simplifying a budget-to-actual variance fraction for a department report. According to the standard three-step procedure for simplifying fractions, a common factor 'c' can be divided out from both the numerator and the denominator because the expression is equal to 1, provided that 'c' is a:
Example of Simplifying a Fraction Using Prime Factorization
Example of Simplifying
Example of Simplifying
An inventory manager is simplifying a fraction representing the ratio of damaged goods to total stock for a warehouse audit. According to the standard three-step procedure for simplifying fractions, the process is complete when the numerator and denominator share no common factors other than:
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A distribution manager is simplifying a shipping ratio of 315 packages to 770 shipments using the prime factorization method. Arrange the following steps in the correct order to simplify the fraction .
A logistics coordinator is simplifying a warehouse efficiency ratio represented by the fraction . According to the prime factorization method used in the company audit guidelines, which of the following correctly shows the numerator and denominator rewritten entirely as products of their prime factors?
A logistics analyst is verifying the simplification of a freight cost ratio of for an internal audit report. Based on the prime factorization method shown in the audit guidelines, match each part of the process with its corresponding value or expression.
A financial analyst is simplifying a debt-to-income ratio of for a client's loan application using the prime factorization method. True or False: After representing the fraction as and dividing out the common prime factors of 5 and 7, the resulting simplified fraction is .
Simplifying Logistics Ratios Using Prime Factorization