Adapted from Big Book of Math Communicator Templates · ©2004, Lawrence Educational
Services
Fraction – Decimal Equivalence Model
The Fraction -Decimal Equivalence Model template can be used to:
 Compare fractions
 Determine fraction equivalence
 Simplify fractions
 Add and subtract fractions with like and unlike denominators
 Relate fractions to decimals
This is probably not the first time students have seen a fraction wall;
nevertheless, it would be beneficial to explain the fraction wall before using it for
the activities to follow.
Equivalent Fraction Exercise: This model is good for review of equivalent
fractions that has been taught in previous grades. Use the halves strip to make a
line segment that is half a unit length. Write the equivalencies on the board and
look for patterns to establish ways to change ½ to 84 or ½ to 63 , etc.
Fraction/Decimal Conversions: For example, have students draw a line segment
that is 19 of a unit long on the ninths strip and using a straight edge draw a line
that crosses the hundredths strip. Where it crosses will define a line segment
that is APPROXIMATELY 0.11 in length. Therefore, 19 is about 0.11. If 19 is about
0.11, what is the approximate value of
4
9
represented as 100ths? Once these
conversions are established, use standard calculator procedures to transform
fractions to decimals so students can make the connection between the answers
obtained on the calculator and those they have demonstrated visually on the
template.
Estimate Sums/differences of Fractions: Similarly, the model could be used as a
visual for students to establish benchmark values when comparing fractions and
estimating sums and differences.
Adding Fractions: Model adding 14 to 163 by having students draw a line segment on
the fourths strip that is
1
4
of the unit in length. Then have them add to this line
segment a length that is
3
16
of a unit in length. Since it is easier to use the
sixteenths strip to model 16ths and because we want to extend the length of the
original segment, it is important to realize that if we move straight down on the
sheet from the ¼ to the 16ths, ¼ becomes 164 , and we can start to add the 163 to end
of the
4
16
. The final length of both segments is read as 167 . After students
complete a series of these problems, it becomes obvious to them that changing the
fraction to its equivalent is the best way to add fractions. Subtraction of fractions
is basically the same, except the subtrahend is taken from the first fraction that
is modeled.
Adapted from Big Book of Math Communicator Templates · ©2004, Lawrence Educational
Services