Project Percents

Solution

Name Fraction Percent
Austin three-fifths 60%
Cheyenne one-half 50%
Jasmine one-fourth 25%
Kareema three-tenths 30%
Madeline nine-twenty-fifths 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 three-fifths of the questions. three-fifths = n over one-hundred
    Austin has answered 60 questions, or 60%.
    3 times 20 over 5 times 20 equals 60 over 100

    n = 60
  2. Cheyenne has answered 10 fewer questions than Austin:
    60 − 10 = 50
    Cheyenne has answered 50 questions out of 100:
    50%, or one-half
  3. Kareema has answered 0.3 of the questions:
    0.3 = 0.3 x 100 = 30%
    30% of the questions = 30 questions, or three-tenths of the questions
    Kareema has answered 30 questions.
  4. Jasmine has answered half as many questions as Cheyenne.
    Since Cheyenne answered 50, one-half of 50 = 25.
    Jasmine has answered 25 questions. To show as a fraction:
    twenty-five-hundredths = one-fourth
  5. Madeline has answered 6 more questions than Kareema.
    Kareema answered 30: 30 + 6 = 36
    Madeline answered 36 questions. To show as a fraction:
    36 divided by 4 over 100 divided by 4 equals 9 over 25
Name Number of questions to answer in all Number completed Fraction (simplest form) Decimal Percent
Austin 100 60 Think:
3 times 20 over 5 times 20 equals 60 over 100
.60 or 0.6 60%
Cheyenne 100 50
50 = 1
equals equals
100 = 2
.50 or 0.5 50%
Jasmine 100 25
25 = 1
equals equals
100 = 4
0.25 25%
Kareema 100 30
30 = 3
equals equals
100 = 10
0.30 or 0.3 30%
Madeline 100 36 36 divided by 4 over 100 divided by 4 equals 9 over 25 0.36 36%


Houghton Mifflin Math Grade 5