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1. Each student in a pottery class is responsible for cleaning the area around his or her workspace at the end of the lesson. Each student's area is approximately 4 1/2 . There are 13 students in the class. Assuming that each student cleans his or her area, how many square feet in total is cleaned? Solve the problem by each of these methods.
(a) Method 1: Convert the fraction to an improper fraction and multiply.
(b) Method 2: Use addition to rewrite the fraction, and multiply using the distributive property.

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wuzzleluver
I attached my work below! Please comment with any questions you still have.

Answers:

a) [tex] \frac{117}{2} [/tex] ft²

b) 58 [tex] \frac{1}{2} [/tex] ft²
Ver imagen wuzzleluver
abidemiokin

The total area cleaned is 58.5 square feet.

Improper fractions and proportions

From the question, we have the following information given;

  • Area around each student = 4 1/2 square feet

Convert to improper fraction:

[tex]4\frac{1}{2} =\frac{(4\times 2)+1}{2}\\4\frac{1}{2} = \frac{9}{2} ft^2[/tex]

If there are 13 students in the class, the total  square feet in total cleaned is expressed as:

[tex]Total \ area = 13 (\frac{9}{2} )\\Total \ area =\frac{117}{2}\\Total \ area = 58.5ft^2[/tex]

Hence, the total area cleaned is 58.5 square feet.

Learn more on proportions here: https://brainly.com/question/18437927

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