1. Converting repeating decimals to fractions
Rational Numbers
Converting repeating decimals to fractions

2. Sort the cards into three groups…
give each group a label that explains
what the values have in common.

3. How can we represent each of these fractions as decimals?
2 5 =
13 20 = = .4
.65
.336

4. 2 5 =
13 20 = = .4
.65
.336
How would you write the following decimals as fractions?
3 10
52 100
= 13 25
.3=
.52=

5. Find the five decimals that TERMINATE in your cards…
Glue them on your paper.
Convert them to simplified fractions.

6. How can we represent each of these fractions as decimals?
2 9 =
4 9 =
8 9 =
. 2
. 4
. 8

7. 2 9 =
4 9 =
8 9 =
. 2
. 4
. 8
How would you write the following decimals as fractions?
7 9
6 9
= 2 3
. 7 =
. 6 =

8. How can we represent each of these fractions as decimals?
23 99 =
4 99 =
82 99 =
. 23
. 04
. 82

9. 23 99 =
4 99 =
82 99 =
. 23
. 04
. 82
How would you write the following decimals as fractions?
34 99
9 99
= 1 11
. 34 =
. 09 =

10. Try them (and more) out! Notice any patterns so far?
Any thoughts on what would look
like as a fraction?
Or what would look
like as a decimal?
Try them (and more) out!

11. Find the five decimals that ALL the digits are part
of the REPEATING pattern in your cards…
Glue them on your paper.
Convert them to simplified fractions.