Converting 81.744 to a Fraction
Step-by-step explanation of how to convert 81.744 to a fraction

Result

81.744 =
10218
125
Mixed number:
81
93
125

Step 1: Identify the number of decimal places

The decimal 81.744 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

81.744 × 1000 = 81744

Step 3: Write as a fraction

81.744 =

81744
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 81744 and 1000.

GCD(81744, 1000) = 8

Divide both the numerator and denominator by the GCD:

81744
1000

=

81744 ÷ 8
1000 ÷ 8

=

10218
125
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