When students are asked to show and understanding of the
of a fraction, the area model is preferred over the set model
because the total area is more flexible.
Fraction strips can be folded into parts so that the
is equal in length to the given fraction. Folds may be made
ONLY on the lines of the strips.
Some of the English words for rational numbers are the
the words for position:
the third person in line and one third for 1/3.
This causes confusion for students. The Chinese read 1/3 as “out of
three parts, (take) one.
Proper fraction- A fraction
A proper fraction is a fraction greater than 0 but less
Examples of proper fractions
Improper fraction-A fraction a/b , where
An improper fraction is a fraction that is greater than 1.
Examples of improper fractions
Fold in half
Fold in half
represent the same
rational number and are
equivalent fractions or equal fractions.
Let a/b be any fraction and n be a nonzero whole number,
Actually, n can be any nonzero number.
This law show us that
We can use this law to “build up” fractions and also to
simplify “reduce” them.
Definition of Simplest Form - (lowest terms)
A rational number a/b is in simplest form if a and b have no
common factors greater than 1, that is a and b are relatively
prime. (that is, the GCD (a, b) = 1).
TRY THESE: Write each of the following in simplest
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