This document provides lesson notes on rational numbers and equivalent fractions. The objectives are for students to identify rational numbers and find equivalent fractions. It defines different types of numbers like rational, integer, whole and natural. It demonstrates how to find equivalent fractions through multiplication or division of the numerator and denominator. It also shows how to reduce or simplify fractions using a calculator. Finally, it defines improper fractions as those where the numerator is larger than the denominator and shows how to convert improper fractions to mixed numbers.

1. LESSON 10
Obj: Students will be able to identify rational numbers
and find equivalent fractions.

2. NOTES
Rational
1.5,
3
4
, .676767
Integer
... -2, -1, 0, 1, 2…
Whole
0,1,2,3…
Natural
1,2,3,4…

3. EQUIVALENT FRACTIONS
Insert hand-drawn fraction circles here……

4. MORE EQUIVALENT FRACTIONS
x2 x10 x8 x1000
3
6
2
20
1
8
4
=
=
=
=
5
10
4
40
7
56
6
4000
6000
x2 x10 x8 x1000
2
5
=
3
8
=
5
10
=
4
7
=

5. REDUCE OR SIMPLIFY
To reduce or simplify fractions on your calculator, type
in the fraction and hit the = button.
15
25
=
18
36
=
7
21
=
24
40
=
SHHHHH……You’re really dividing (and it counts as
an equivalent fraction)
÷ 11 ÷ 2
22
44
=
2
4
=
1
2
÷ 11 ÷ 2

6. IMPROPER FRACTION
 The numerator is larger than the denominator (big
number on top)
 Ex.
5
2
We can change an improper fraction into a mixed fraction.
 Ex.
5
2
= 2
1
2

7. LET’S PRACTICE
 Which fraction is an improper fraction? Mixed number?
A.
2
6
B.
12
9
C.
15
16
1
4
D. 3
 Change the following improper fractions into mixed numbers.
14
3
25
5
39
3
100
25
48
5
76
9
120
20
58
7