Converting 0.13625 to a Fraction
Step-by-step explanation of how to convert 0.13625 to a fraction

Result

0.13625 =
109
800

Step 1: Identify the number of decimal places

The decimal 0.13625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.13625 × 100000 = 13625

Step 3: Write as a fraction

0.13625 =

13625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13625 and 100000.

GCD(13625, 100000) = 125

Divide both the numerator and denominator by the GCD:

13625
100000

=

13625 ÷ 125
100000 ÷ 125

=

109
800
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