Converting Decimals Into Fractions Worksheet With Answers
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6Converting decimals into fractions
Objective: Interpret percents as a part of a hundred; find decimal and percent equivalents for common
fractions and explain why they represent the same value; compute a given percent of a whole number.
(5NS 1.2)
Remind students about the names of the
place values to the right of the decimal,
how to verbally express decimals in word
form, and how they are written as
fractions.
Say (Word
Fraction with
Decimal
Fraction
Form)
Powers of 10
ASK: “What do you notice about the
number of decimal places and the
denominators in each fraction?”
1
1
0.1
one tenth
1
10
10
[The number of decimal places is the
power of 10 in the denominator. i.e.
1
1
2
10
= 100
two decimal places =>
]
0.01
one hundredth
2
100
10
1
1
one
0.001
3
thousandth
1000
10
Example 1: (Model with direct instruction)
Express 0.8 as a fraction in simplest form.
Simplify with Prime
Model with Base-10
Simplify with Greatest
Factorization
Blocks
Common Factor
1
8
8
0.8 =
0.8 =
10
10
1
8
2
2i2i2
0.8 =
÷
0.8 =
GCF = 2
10
2
2i5
4
4
0.8 =
0.8 =
5
5
8
4
=
10
5
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MCC@WCCUSD 12/01/11
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