DECIMALSReview of Introductory MathematicsDecimaltoFractionConversionThe process of decimal to fraction conversion involves the use of the fundamental rule offractions; the fraction should be written in its lowest terms. The following examples demonstratehow to convert decimals to fractions.Example 1:Convert 0.65 to a fraction.Solution:Step 1: Note the number of place positions to the right of the decimal point. Inthis example, 0.65 is 65 hundredths, which is two places to the right of thedecimal point.65100Step 2: Although we have now converted the decimal into a fraction, the fractionis not in its lowest terms. To reduce the new fraction into its lowest orsimplest terms, both the numerator and the denominator must be brokendown into primes.651005135205135455135225Note that we can cancel one set of 5s, because = 1.55This gives651001320and this is the simplest form of this fraction.Example 2:Convert 18.82 to a mixed number.MA-01 Page 40 Rev. 0

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