Name: ____________________________________
Class: ________
Date: ____________________
Writing Equivalent Fractions, Decimals, and Percents
To change a terminating decimal to a simplified fraction, put the value over the
appropriate power of 10 and simplify. (HINT: think of the decimal’s word form.)
0.2 =
2
1
=
10
5
0.16 =
16
4
=
100
25
0.015 =
15
3
=
1000
200
If a fraction’s denominator is a factor of a power of ten, the fraction can be
converted to a decimal by making an equivalent fraction with a power of ten in
the denominator. (HINT: read the new fraction properly to make the decimal.)
3
15
=
= 0.15
20
100
11
22
=
= 0.022
500
1000
To change any fraction to a decimal, you can divide the numerator by the
denominator.
3
= 3  16 = 0.1875
16
17
= 17  8 = 2.125 (notice that an
8
improper fraction is >1)
If you see an amount you’ve already divided into when doing the long division steps,
the quotient will be a repeating decimal. Instead of writing the number or set of
numbers 2 or 3 times followed by “…” you can instead use bar notation.
2
= 2  9 = 0.22… = 0.2
9
3
11
= 3  11 = 0.2727… = 0.27
To change a percent to its equivalent decimal, move the decimal point two
places to the left and get rid of the percent sign.
50% = 0.50 or 0.5 5 1 % = 5.5% = 0.055 0.03% = 0.0003 153% = 1.53
2
To change a decimal to its equivalent percent, move the decimal point two
places to the right and add the percent sign, %.
1
0.35 = 35%
0.035 = 3.5%
2.3 = 230%
0.875 = 87.5% or 87 %
2
What if you’re given a fraction and want to find
 its equivalent percent?
into its equivalent decimal first]
Mrs. Rowe
Grade 6 Math
Maroon Team
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