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Chapter 6: F. Measurement Conversions 55
Note that the decimal equivalents to the fractions 1/3, 1/6, 1/7, and 1/9 are
infinitely repeating decimals, as shown below. A line drawn above a number or a
sequence of numbers indicates that the number or sequence repeats infinitely.
1
= 0333 .
3
1
= 01666 .
6
1
= 0.
142857
7
1
= 0111 .
9
Part I.F
Converting Decimals to Fractions
To convert a decimal to a fraction, divide the decimal by one. Then move the decimal
point to the right in the numerator to make a whole number. Move the decimal
place in the denominator the same number of times. For example, to convert the
decimal 0.234 to a fraction, the decimal point in both the numerator and denominator
is moved four places to the right:
0.
0234 234
=
1 10,
000
The resulting fraction can then be simplified if desired.