Short Answer

Production Batch Measurement Simplification

A production associate at an artisanal cosmetics company is preparing a special batch of botanical body lotion. They need to combine three organic liquid extracts whose quantities are given by the expression (29+712)+512(\frac{2}{9} + \frac{7}{12}) + \frac{5}{12} liters.

To make the calculation easier to perform mentally, the associate decides to change the grouping of the terms to add the fractions with identical denominators first.

  1. State the name of the mathematical property of addition that justifies changing the grouping from (29+712)+512(\frac{2}{9} + \frac{7}{12}) + \frac{5}{12} to 29+(712+512)\frac{2}{9} + (\frac{7}{12} + \frac{5}{12}).

  2. Compute the final simplified total volume of the liquid extracts as an improper fraction of a liter.

0

1

Updated 2026-06-02

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.1 Foundations - Intermediate Algebra @ OpenStax

Algebra

Recall in Bloom's Taxonomy

Cognitive Psychology

Psychology

Social Science

Empirical Science

Science

OpenStax Psychology (2nd ed.) Textbook

Related