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Example of Simplifying
To simplify the numerical fraction by factoring and applying the Equivalent Fractions Property:
Step 1 — Rewrite the numerator and denominator to reveal common factors. Both 36 and 63 are divisible by 9, so rewrite the terms as and . The fraction becomes: .
Step 2 — Simplify using the Equivalent Fractions Property. Cancel the common factor of 9 from the numerator and denominator: .
The result is . Since 4 and 7 share no common factors, the fraction is fully simplified and cannot be reduced further.
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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
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:
Example of Simplifying
Example of Simplifying
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A logistics coordinator tracking supply chain waste identifies a loss ratio of -36/63. To present this in a standardized report, what is the simplest form of this fraction?
A logistics coordinator is documenting a loss ratio of -36/63. To standardize the data for a quarterly report, the coordinator must simplify the fraction. Arrange the following steps in the correct order to simplify -36/63 using the method of factoring.
In a corporate efficiency report, a resource deviation is recorded as the fraction . To standardize this value for the executive summary, the auditor needs to simplify the fraction to its lowest terms. The simplified fraction is ____.
An inventory manager is documenting a stock variance ratio of for a quarterly audit. True or False: To simplify this fraction to its lowest terms, the greatest common factor that must be factored out and canceled from both the numerator and denominator is 9.
In a corporate efficiency report, a resource deviation is recorded as the fraction . To ensure the data is easy to interpret for the executive summary, an auditor needs to simplify this value. Match each part of the simplification process for with its corresponding numerical value.
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A quality control analyst has simplified a production defect ratio from to for a standardized report. Based on the rules for simplifying numerical fractions, which of the following best explains why is considered the final, fully simplified version of this ratio?
A budget analyst is simplifying a deficit ratio of for an annual report. According to the provided procedure, which mathematical property is specifically applied when canceling the common factor of 9 from both the numerator and the denominator?