Converting 21.536 to a Fraction
Step-by-step explanation of how to convert 21.536 to a fraction

Result

21.536 =
2692
125
Mixed number:
21
67
125

Step 1: Identify the number of decimal places

The decimal 21.536 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.536 × 1000 = 21536

Step 3: Write as a fraction

21.536 =

21536
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21536 and 1000.

GCD(21536, 1000) = 8

Divide both the numerator and denominator by the GCD:

21536
1000

=

21536 ÷ 8
1000 ÷ 8

=

2692
125
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