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Express the ratio in lowest terms. (Enter your answer in fraction form. Use the Metric and U.S. Conversion table to find the conversion factor(s).) 2 in? : 3 ft2

Express the ratio in lowest terms. (Enter your answer in fraction form. Use the Metric and U.S. Conversion table to find the conversion factor(s).) 2 in? : 3 ft2

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:** Express the ratio in lowest terms. (Enter your answer in fraction form. Use the Metric and U.S. Conversion table to find the conversion factor(s).) **Given:** \[ 2 \, \text{in}^2 : 3 \, \text{ft}^2 \] **Instructions:** - **Objective:** Simplify the ratio of areas given in different units. - **Approach:** Convert units to be consistent and express the ratio in its simplest fractional form. - **Tools:** Employ the Metric and U.S. Conversion table to determine necessary conversion factors. **Concept Clarification:** - **Area Conversion:** Remember that 1 square foot (ft²) = 144 square inches (in²). - **Calculation Steps:** 1. Convert both areas to the same unit (preferably in² for simplicity). 2. Use the conversion factor for precise calculations. 3. Simplify the resulting fraction. By clearly following these steps, the problem becomes a straightforward exercise in unit conversion and fraction simplification.
Transcribed Image Text:**Problem Statement:** Express the ratio in lowest terms. (Enter your answer in fraction form. Use the Metric and U.S. Conversion table to find the conversion factor(s).) **Given:** \[ 2 \, \text{in}^2 : 3 \, \text{ft}^2 \] **Instructions:** - **Objective:** Simplify the ratio of areas given in different units. - **Approach:** Convert units to be consistent and express the ratio in its simplest fractional form. - **Tools:** Employ the Metric and U.S. Conversion table to determine necessary conversion factors. **Concept Clarification:** - **Area Conversion:** Remember that 1 square foot (ft²) = 144 square inches (in²). - **Calculation Steps:** 1. Convert both areas to the same unit (preferably in² for simplicity). 2. Use the conversion factor for precise calculations. 3. Simplify the resulting fraction. By clearly following these steps, the problem becomes a straightforward exercise in unit conversion and fraction simplification.
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