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To change a fraction to a decimal number, 2 11
(‘top dog’ goes in the house…)
dividedivide to find the decimal equivalent
)211
0
02
0
0
1
119
0
0
8
88
0
2 0
1
119 0
8
…noticing a pattern?
How can we show repeating decimals?
.18 2 11
=
Fractions --> Decimals
To change a decimal to a fraction,Read it
Write it
Reduce it
0.84““Eighty four hundredths”Eighty four hundredths”
84100
÷ 4÷ 4=
2125
Read it
Write it
Reduce it
2.005 ““TwoTwo
÷ 5÷ 5 =
5 1000
and five and five thousandths”thousandths”
2 1 200
2
Decimals --> Fractions
To change a fraction to a percent,1. Check the denominator.
7 20
=• 5 100• 5 35=35%35%
216 300
= ÷ 3 100 ÷ 3 72 = 72%72%
3 7
* Can it be changed to 100?
2. Rewrite the fraction with a denominator of 100.
What if the denominator can’tcan’t be changed to 100?
a. Divide
=3 ÷ 7
0.4285…
b. Change to a percent * slide the decimal 2 to the
right
42.85
d. Round to the nearest tenth.
42.9% c. Slap a percent sign on it.
%
yes
3. Write it as a percent.
To change a percent to a fraction,
1.Re-write the percent as a fraction over 100
8 100
=
2. Simplify.
8%8%
275100
÷ 4 ÷ 4
2 25
275%275% ÷ 25 ÷ 25
Percents --> Fractions
11 4
==
3.6100
3.6%3.6% ÷ 4 ÷ 4
9_250
== 36_ 1000
==*If there’s a decimal, move it to the end. … but, what you do to the numerator.. … you also do to the denominator
•0
DECIMAL…move the decimal 2 spaces to the
right.
Decimal <--> Percents
PERCENT
From a to a 0.13
= .13 13%
=
0.9 = .90=90%
0.0027
= 0.27
=0.27%
0013 = 1300 1300%
• =
DECIMAL…move the decimal 2 spaces to the
left.
PERCENT
From a to a 0.78
=78 78%=•
0.05
= 5 5%=• 1.75
= 175
175%
= 0.0008%
= 00.000008
•0
Modeling Fractions, Decimals & Percents.
Modeling Fractions, Decimals & Percents.
Modeling Fractions, Decimals & Percents.
