Converting 20.1538 to a Fraction
Step-by-step explanation of how to convert 20.1538 to a fraction

Result

20.1538 =
100769
5000
Mixed number:
20
769
5000

Step 1: Identify the number of decimal places

The decimal 20.1538 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

20.1538 × 10000 = 201538

Step 3: Write as a fraction

20.1538 =

201538
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 201538 and 10000.

GCD(201538, 10000) = 2

Divide both the numerator and denominator by the GCD:

201538
10000

=

201538 ÷ 2
10000 ÷ 2

=

100769
5000
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