Download 2 = 6 = 1 = 3 = 7 = 4 = = = = = = =

Lesson #3 title: PART 3 = Converting MIXED NUMBERS to IMPROPER FRACTIONS (and vice versa)
Date:
THROUGH-LINE: Creation-enjoying
9
4
5
5
The unbelievable becomes believable when it is thought about logically. Improper fractions are ‘top-heavy’. (example: = 1 )
OUTCOMES:
1. Express improper fractions as mixed numbers using mathematical rule.
2. Express mixed numbers as improper fractions using mathematical rule.
MATERIAL NEEDED: highlighters, pencil, blue pen, calculator
Example #1: (This picture was obtained from MQ6 p.394 (©1987).
Eye spy with my beatiful eyes… two equal fractions. How is this possible mathematically?
HINT: Look at the mixed number. How can the ‘4’, ‘2’, ‘3’ give ‘11’?
𝟑
𝟏𝟏
𝟒
𝟒
2 =
Example #2: Convert each mixed number to an improper fraction.
𝟏
2
𝟑
𝟑
6
𝟒
=
3
=
7
𝟏
1
=
𝟏𝟐
𝟏
𝟖
𝟑
𝟓
=
=
𝟗
4
=
𝟏𝟎
Example #3: Convert each improper fraction to a mxed number.
𝟏𝟎
𝟕
𝟏𝟗
𝟖
𝟗
𝟓
=
=
=
𝟐𝟑
𝟏𝟎
𝟏𝟕
𝟖
𝟏𝟐
𝟓
=
=
=
Example #4: Express each mixed number in FOUR ways (in any oreder):
a)
b)
c)
d)
45
401
21
640
As a decimal
As an IMPROPER FRACTION
As money
In words
𝟔
𝟏𝟎
𝟑
𝟏𝟎
𝟐𝟕
𝟏𝟎𝟎
𝟕
𝟏𝟎
=
=
=
=
In your opinion, which of these four ways do you prefer to express the mixed number? Why?
L3(3)
YOUR TURN (or continue with MsT for a few more).
#1: Express each improper fraction as its mixed number.
𝟓
m) 𝟒 =
n)
𝟏𝟎
𝟑
=
o)
𝟏𝟕
𝟒
=
p)
𝟏𝟏
𝟒
=
#2: Express each mixed number as its improper fraction.
𝟐
m) 3 𝟓 =
𝟑
m) 4 =
𝟓
𝟒
n) 9 𝟏𝟏 =
n) 7
𝟖
𝟏𝟎
=
𝟔
o) 3 𝟕 =
𝟔
o) 8 =
𝟕
𝟑
p) 5 𝟒 =
𝟖
p) 3 =
𝟗
L3(4)
#3: Write each fraction as an improper fraction and as a mixed number. (You decide which to write
first.)
Mixed number:
Improper fraction:
Mixed number:
Improper fraction:
#4: Express each mixed number in FOUR ways (you decide in which order to solve)
a)
b)
c)
d)
40
82
599
As a decimal
As an IMPROPER FRACTION
As money
In words
𝟒
𝟏𝟎𝟎
𝟔
𝟏𝟎𝟎
𝟗
𝟏𝟎
=
=
=
L3(5)
#1: Express each mixed number as an improper fraction.
#2: Express each improper fraction as its mixed number.
L3(6)
#3: Express each mixed number as an improper fraction.
#4: Express each improper fraction as its mixed number.
L3(7)
#1: Express each mixed number as its improper fraction.
#2: Express each improper fraction as its mixed number.
#3: Convert each mixed number to improper fraction.
L3(4)
L3(8)
#4: Express each mixed number as its improper fraction.
#5: Express each improper fraction as its mixed number.
#6: Express each mixed number as its improper fraction.