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Convert the fraction to an improper fraction and multiply

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 . 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. When you convert the fraction to an improper fraction and multiply you get 9/2.

(b)   Method 2: Use addition to rewrite the fraction, and multiply using the distributive property.

1.     During a sale at a clothing store, shirts are two-fifths their usual price, pants are one-third their usual price, and accessories are three-fourths their usual price.

(a)   Padma bought the following items. What is the sale price of each item as a fraction or a whole number? Show your work.

Item

Original price

T-shirt

$15

Jeans

$40

Earrings

$10

(b)   What is the sale price of each item as a terminating or a repeating decimal? Show your work.

(c)   Round the price of each item to the nearest cent. What is the total cost of Padma’s purchases? Show your work.

Answer:

1.     The table shows the sales that employees made in May and June.

Employee

May

June

Juan

$350

$375

Rhia

$275

$350

Max

$400

$360

(a)   Describe each employee’s June sales as a percent increase or decrease over the employee’s May sales. Round to the nearest whole percent.

(b)   Any employee who had an increase of at least 10% and also sold $355 or more in product for the month of June received a bonus. Which employees, if any, received a bonus? Explain your reasoning for each employee.

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