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Project Percents

Solution

Name	Fraction	Percent
Austin		60%
Cheyenne		50%
Jasmine		25%
Kareema		30%
Madeline		36%

Explanation

Make a chart to show the students' names, number of questions, number completed, fraction, decimal, and percent.

One way to find a percent is to use equivalent fractions.

Remember, percent (%) is a ratio that compares a number to 100.

To find the correct percent, write equivalent fractions in the form:

Number of questions answered	=	n
Total number of questions		100

n is equal to the number out of 100, or the percent.

Another way to find the percent is to divide the numerator by the denominator for a decimal. Multiply the decimal x 100 to find the percent.

1. Austin has answered of the questions. =
   Austin has answered 60 questions, or 60%.
   
   
   n = 60
2. Cheyenne has answered 10 fewer questions than Austin:
   60 − 10 = 50
   Cheyenne has answered 50 questions out of 100:
   50%, or
3. Kareema has answered 0.3 of the questions:
   0.3 = 0.3 x 100 = 30%
   30% of the questions = 30 questions, or of the questions
   Kareema has answered 30 questions.
4. Jasmine has answered half as many questions as Cheyenne.
   Since Cheyenne answered 50, of 50 = 25.
   Jasmine has answered 25 questions. To show as a fraction:
   =
5. Madeline has answered 6 more questions than Kareema.
   Kareema answered 30: 30 + 6 = 36
   Madeline answered 36 questions. To show as a fraction:
   

Name	Number of questions to answer in all	Number completed	Fraction (simplest form)	Decimal	Percent
Austin	100	60	Think:	.60 or 0.6	60%
Cheyenne	100	50	50 = 1 100 = 2	.50 or 0.5	50%
Jasmine	100	25	25 = 1 100 = 4	0.25	25%
Kareema	100	30	30 = 3 100 = 10	0.30 or 0.3	30%
Madeline	100	36		0.36	36%