EXAMPLES

NOTE

In the second example, notice the (+) placed at the

end of the decimal fraction.

This means that the

decimal fraction may be carried further if needed. A

common fraction in its lowest terms can reduce to an

exact decimal only when its denominator contains no

prime factors other than 2 and 5. Thus, 3/64 reduces

to an exact decimal, for 64 is made up of 2 x 2 x 2 x

2 x 2 x 2. On the other hand, 7/12 cannot be reduced

to an exact decimal because its denominator contains a

factor 3.

Table 1, on the following page, shows the decimal equivalents of the more

common fractions.

6.

Reduction of a Decimal Fraction to a Common Fraction

by as many zeros as there are decimal places in the original fraction.

Write in the figures to the right of the decimal point to form the

numerator.

EXAMPLE

Change .5 to a common fraction. First change the decimal point to 10, which

becomes the denominator; then write in the numerator, 5/10. Similarly, 2.75

becomes 2 75/100, which will reduce down to 2 3/4.

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