Converting 2.1644 to a Fraction
Step-by-step explanation of how to convert 2.1644 to a fraction

Result

2.1644 =
5411
2500
Mixed number:
2
411
2500

Step 1: Identify the number of decimal places

The decimal 2.1644 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1644 × 10000 = 21644

Step 3: Write as a fraction

2.1644 =

21644
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21644 and 10000.

GCD(21644, 10000) = 4

Divide both the numerator and denominator by the GCD:

21644
10000

=

21644 ÷ 4
10000 ÷ 4

=

5411
2500
Related Conversions
Other decimal to fraction conversions you might find useful