Using the numbers 3, 5, and 8, can you write nine proper fractions and nine improper fractions? You may use each number only once within a fraction. Name the numerator and the denominator in each fraction.
a. 11⁄12
b. 7⁄512
c. 12⁄10
d. 0⁄78

Indicate whether each of the following fractions is proper or improper.
a. 4⁄16
b. 75⁄70
c. 2⁄15
d. 6⁄6

Insert the greater than, less than, or equal sign (>, <, or =) to make each statement true.
a. 45⁄45 1
b. 1 6⁄3
c. 2⁄7 1
d. 64⁄23 1

Kim ate 3⁄10 of a bag of potato chips; Sandy ate 3⁄7 of a bag; and Jeff ate 3⁄9 of a bag. Who ate the most, Kim, Jeff, or Sandy?

Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?

Jo divides a candy bar into eight equal pieces for her children to share. She gives three pieces to Sam, three pieces to Leslie, and two pieces to Maggie. Rose, the two-month-old baby, doesn’t get any. What fractions show how much candy each of the four children got?

Paula, a college student, earned $3,600 one summer. During the following semester, she spent $2,500 for tuition, $650 for rent, and $430 for food. The rest went for miscellaneous expenses. What fractions show the amounts Paula spent on tuition, rent, food, and miscellaneous expenses?

Define fraction.

Rewrite the following fractions as division problems.
a. 7⁄11
b. 5⁄2
c. 9⁄10
d. 7⁄15

Change each improper fraction into an equal mixed number.
a. 15⁄4
b. 41⁄9
c. 67⁄8
d. 135⁄11
e. 107⁄20
f. 493⁄174

Change each mixed number into an equal improper fraction.
a. 17⁄16
b. 115⁄9
c. 305⁄7
d. 1010⁄13
e. 243⁄5
f. 1291⁄2

If Maria buys 2 pounds of cherries, Jerry buys 4 pounds, and Sarah buys 7⁄9 of a pound, how many pounds did they buy altogether?

Define mixed number.

Graph the system of equations. {6x−4y=−244x−8y=−32 use the line tool to graph the lines.

In january 2010, you began a one-year study of tuberculosis (tb) in a subsidized housing community in the lower east side of new york city. you enrolled 500 residents in your study and checked on their tb status on a monthly basis. at the start of your study on january 1st, you screened all 500 residents. upon screening, you found that 30 of the healthy residents had been vaccinated for tb and therefore were not at risk. another 20 residents already had existing cases of tb on january 1st. on february 1st, 5 residents developed tb. on april 1st, 10 more residents developed tb. on june 1st, 10 healthy residents moved away from new york city and were lost to follow-up. on july 1st, 10 of the residents who had existing tb on january 1st died from their disease. the study ended on december 31, 2010. assume that once a person gets tb, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up. is the subsidized housing community in the lower east side of new york city a dynamic or fixed population? briefly explain the rationale for your answer. dynamic population it can changeable people can move out and move in into the population of a subsidized housing what was the prevalence of tb in the screened community on january 1st? prevalence = 30/500 0.06= 6% what was the prevalence of tb on june 30th? prevalence= 40/450=0.08= 8.88% what was the cumulative incidence of tb over the year? cumulative incidence = number of new cases/number in candidate population)over specified time period 10/450 = 2.2% suppose that you wanted to calculate the incidence rate of tb in the study population. calculate the amount of person-time that would go in the denominator of this incidence rate. be sure to show your work.

Hurry the figure shows the front side of a metal desk in the shape of a trapezoid.what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²