Converting 21.3164 to a Fraction
Step-by-step explanation of how to convert 21.3164 to a fraction

Result

21.3164 =
53291
2500
Mixed number:
21
791
2500

Step 1: Identify the number of decimal places

The decimal 21.3164 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

21.3164 × 10000 = 213164

Step 3: Write as a fraction

21.3164 =

213164
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 213164 and 10000.

GCD(213164, 10000) = 4

Divide both the numerator and denominator by the GCD:

213164
10000

=

213164 ÷ 4
10000 ÷ 4

=

53291
2500
Related Conversions
Other decimal to fraction conversions you might find useful