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Answer to Problem 5:

or or ; 0.4; 40%

DEFINITION:

commonly used fractions—halves, thirds, fourths, fifths, sixths, eighths, and tenths.[1]

TEACHER NOTES:

During fifth grade, students should recognize fractions, decimals and percents as being different ways of representing the same quantity or number. Through a variety of activities, students should understand that a fraction such as  is equivalent to and that the decimal representation is 0.5 and the percent representation is 50%. They should become flexible switching between fraction, decimals and percents so that they can determine which representation would be most easily used to solve a problem.

During fifth grade, students should also be broadening their knowledge of fractions to include the meaning of a fraction as a quotient of two whole numbers, e.g.,  is 3 divided by 4 or 0.75. To help see this relationship, a calculator may be used to perform the division yielding the decimal equivalent.

Students should understand the meaning of percent as a part of a whole and use common percents such as 10%, 33% and 50% as landmarks in interpreting the situations or problems they encounter.