8th Grade Summer Math Packet Worksheet - Khan Academy, 2014 Page 15
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21T
S
:
F
–
D
–
P
C
OPIC
EVEN
RACTION
ECIMAL
ERCENT
ONVERSIONS
A
p ercent
i s
a
s pecial
f raction
w ith
a
d enominator
o f
1 00.
W e
p racticed
g oing
b ack
a nd
f orth
between
p ercents,
d ecimals,
a nd
f ractions
i n
7
g rade.
H ere
i s
a
q uick
r eview.
th
35
35% is the same as
which is the same as 0.35
•
100
• To
c onvert
a
d ecimal
i nto
a
p ercent,
m ultiply
i t
b y
1 00.
0.64
0.64(100) 64%
→
=
1.05
1.05(100) 105%
o
→
=
0.05
0.05(100) 5%
→
=
• To
c onvert
a
p ercent
i nto
a
d ecimal,
d ivide
i t
b y
1 00.
89.5%
89.5 100 0.895
→
÷
=
o
107%
107 100 1.07
→
÷
=
0.03%
0.03 100 0.0003
→
÷
=
• To
c onvert
a
f raction
i nto
a
p ercent,
f irst
w rite
i t
t he
f raction
a s
a
d ecimal
b y
d ividing
t he
numerator
b y
t he
d enominator.
T hen
m ultiply
t hat
d ecimal
b y
1 00
t o
g et
a
p ercent.
1
To convert
into a percent, first we write it as a decimal: 1 4 0.25
÷ =
o
4
Next we convert the decimal into a percent 0.25
0.25(100) 25%
→
=
• To
c overt
a
p ercent
i nto
a
f raction,
f irst
w rite
i t
a s
a
d ecimal.
T hen
w rite
t hat
d ecimal
a s
a
fraction.
F inish
b y
r educing
t he
f raction.
50
50% 0.50
=
→
100
50
50
o
Now we reduce
by dividing both the numerator and denomenator by a "fancy 1
"
=
100
50
50
50
1
÷
=
100 50
2
Write
e ach
d ecimal
a s
a
p ercent
a nd
a s
a
f raction
r educed
t o
s implest
f orm.
1. 0.36
3. 0.003
2. 0.04
4. 5.2
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