Converting 21.196 to a Fraction
Step-by-step explanation of how to convert 21.196 to a fraction

Result

21.196 =
5299
250
Mixed number:
21
49
250

Step 1: Identify the number of decimal places

The decimal 21.196 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.196 × 1000 = 21196

Step 3: Write as a fraction

21.196 =

21196
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21196 and 1000.

GCD(21196, 1000) = 4

Divide both the numerator and denominator by the GCD:

21196
1000

=

21196 ÷ 4
1000 ÷ 4

=

5299
250
Related Conversions
Other decimal to fraction conversions you might find useful