Converting 12.7728 to a Fraction
Step-by-step explanation of how to convert 12.7728 to a fraction

Result

12.7728 =
7983
625
Mixed number:
12
483
625

Step 1: Identify the number of decimal places

The decimal 12.7728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

12.7728 × 10000 = 127728

Step 3: Write as a fraction

12.7728 =

127728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 127728 and 10000.

GCD(127728, 10000) = 16

Divide both the numerator and denominator by the GCD:

127728
10000

=

127728 ÷ 16
10000 ÷ 16

=

7983
625
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