Converting 21.1728 to a Fraction
Step-by-step explanation of how to convert 21.1728 to a fraction

Result

21.1728 =
13233
625
Mixed number:
21
108
625

Step 1: Identify the number of decimal places

The decimal 21.1728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.1728 × 10000 = 211728

Step 3: Write as a fraction

21.1728 =

211728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 211728 and 10000.

GCD(211728, 10000) = 16

Divide both the numerator and denominator by the GCD:

211728
10000

=

211728 ÷ 16
10000 ÷ 16

=

13233
625
Related Conversions
Other decimal to fraction conversions you might find useful