1. Today:
Warm-Up: (
ퟑퟐퟎퟎ
ퟐퟎퟎ
Questions)
Khan Academy Practice
Fractions, Decimals, & Factoring
Class Work

5. Warm-Up
On three tests, you have scores of
94, 70, and 76. What score do you
need on your last test in order to
average 83%?
Solve,
ퟐퟒퟎ + 풙
ퟒ
> 83
Write as a simplified fraction & decimal:
3. 3 ÷ 5 4. 25 ÷ 4 5. 6 ÷ 15
ퟑ
ퟓ
ퟏ
ퟒ
.6 6
6.25
ퟑ
ퟓ
.6

6. Warm-Up
Adding & Subtracting Mixed Fractions: (3)

8. x = 31
x = 32
x = 36

10. Vocabulary:
Fractions: From the Latin fractiō: a breaking into pieces, also
from the Latin fractus: broken
English Words from the Latin Root Fractus:
fracture, infraction, fragile, frail
Fractions are a SINGLE NUMBER and can be placed on the
number line. All positive proper fractions are a number
between 0 and 1.
A fraction is defined as a “part – whole” relationship of a
number.
ퟏ
ퟐ
means “one of two” or “one out of every two.”
This part/whole relationship could actually represent one of
two, or it could represent 50/100, 1000/2000 etc.

11. Vocabulary:
A fraction is defined as a “part – whole” relationship of a
number.
ퟏ
ퟐ
means “one of two” or “one out of every two.”
This part/whole relationship could actually represent one of
two, or it could represent 50/100, 1000/2000 etc.
The part/whole relationship is known as a ratio, and is
calculated through division.
“One out of every two” as a fraction is
ퟏ
ퟐ
As a decimal, this
relationship is 1 ÷ 2, 2 1 which equals 0.5

12. Reduce the fraction, if possible, by using prime factorization
to find the GCF of:
1.
ퟏퟒퟒ
ퟏퟓퟎ
2.
ퟏퟒퟎ
ퟐퟒퟓ
GCF = 7 x 5 = 35
140/35 = 4
245/35 = 7
= 24•32
= 2•3• 52
GCF = 2 x 3 = 6
144/6 = 24
150/6 = 25
Simplify Using GCF: 48x3 y4z
56xy5z3
= 24•3•xxx•yyyy•z
= 23•7•x•yyyyy•zzz
6x2
7yz2

13. Please note: If an expression has a single term,
48x3 y4z
56xy5z3
simplifying is accomplished by reducing ;(GCF)
If an expression has more than one term, 3c - 24
simplifying is accomplished by factoring c - 8
(GCF again) Simplify by factoring:
6x3y -12x2 + 15x -27xy
And Lastly, simplify by reducing
2a + 6
4a - 12

14. Factor Practice:
1. Simplify: 21x3y2
3xy
2. Simplify: 55p2 - 11p4 +44p5
3. Find the GCF of: 16a2b2, 40a2b3, and 56a3b4

17. Warm-Up
Fill in the missing numbers:
1. 0.6 =
5
2. 0.14 =
?
50
?
Write as a simplified improper fraction:
7. 4.008 =
? 4. 0.012 =
250
3. 0.016 =
125
?
5. 1.2 = 6. 3.02 = 8. 5.015 =
9. Write four-fifths as a decimal:
Answer in both decimal and fraction form:
10. 0.7 + 0.6 11. 8.21 - 0.31 12. 0.42 - 0.002

18. x = 5h -9
r
1. Solve for x: rx + 9 = h
5
5. Solve: 2y + 2 < 11+ 3 < 8 + y

19. Warm-Up: Wednesday
Write as a decimal:
16. One-tenth of a dollar
17. One-tenth of ninety cents
18. One-tenth of two dollars and seventy cents.