Converting 21.764 to a Fraction
Step-by-step explanation of how to convert 21.764 to a fraction

Result

21.764 =
5441
250
Mixed number:
21
191
250

Step 1: Identify the number of decimal places

The decimal 21.764 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

21.764 × 1000 = 21764

Step 3: Write as a fraction

21.764 =

21764
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21764 and 1000.

GCD(21764, 1000) = 4

Divide both the numerator and denominator by the GCD:

21764
1000

=

21764 ÷ 4
1000 ÷ 4

=

5441
250
Related Conversions
Other decimal to fraction conversions you might find useful