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Example of Multiplying
To evaluate the product of a fraction and an integer, such as , first determine the sign. Since both factors are negative, their product is positive. Next, write the integer term as a fraction by placing it over , resulting in . Multiply the numerators and denominators to get . To simplify, rewrite as to expose the common factor of : . Dividing out the common factor of leaves , which simplifies to .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
Algebra
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LCD Requirement for Fraction Operations
An office manager is ordering supplies and needs to calculate 2/3 of a shipment that weighs 4/5 of a ton. Which procedure is used to multiply these two fractions to find the total weight?
When calculating 2/3 of a 3/4-acre commercial lot for a landscaping bid, the estimator must first find a common denominator for the two fractions before multiplying them.
A project manager is calculating the total area of a site that is 2/3 of a 4/5-acre plot. Match each component of the fraction multiplication process with its correct rule or description.
Procedure for Multiplying Fractional Business Inputs
A logistics manager is calculating the volume of a shipment that fills 2/3 of a storage container, and the container itself is 3/4 of a standard warehouse unit. Arrange the steps of the fraction multiplication process in the correct sequence to find the total portion of the warehouse unit used.
When a pharmacy technician calculates a dosage that is 2/3 of a 3/4-mg tablet, they multiply the numerators and denominators to get 6/12. According to the rule for fraction multiplication, the technician must then ____ the resulting fraction by canceling common factors to express it in its most standard form.
Material Estimation Protocol
Standard Procedure for Fractional Inventory Scaling
A software developer is writing a code function to automate the calculation of fractional ratios using the standard mathematical rule: . According to this rule for fraction multiplication, which statement correctly describes how the components of the product are determined?
A chemical engineer is using the standard mathematical rule for fraction multiplication, , to calculate the density of a solution. According to the definition of this rule, which essential condition must be met by the denominators and for the calculation to be valid?
Example of Multiplying
Learn After
Example of Multiplying
Example of Multiplying
A logistics coordinator is calculating a weight adjustment factor for a shipping route. The formula requires multiplying a scaling constant of by a variable adjustment of . What is the final simplified expression for this calculation?
An inventory control specialist is calculating a restocking adjustment factor. The task requires multiplying a scale coefficient of by a deviation value of . Arrange the following steps in the correct order to simplify this expression according to the standard procedure for multiplying a fraction by an integer.
A logistics supervisor is training new staff to verify automated inventory adjustments. One recurring adjustment uses the formula . Based on the standard simplification procedure, match each stage of the calculation with its corresponding result or rule.
Simplifying Supply Chain Multipliers
An inventory analyst is adjusting stock levels by multiplying the factor by the term . Since both the fraction and the integer term are negative, their resulting product will be positive.