Converting 2.1684 to a Fraction
Step-by-step explanation of how to convert 2.1684 to a fraction

Result

2.1684 =
5421
2500
Mixed number:
2
421
2500

Step 1: Identify the number of decimal places

The decimal 2.1684 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1684 × 10000 = 21684

Step 3: Write as a fraction

2.1684 =

21684
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21684 and 10000.

GCD(21684, 10000) = 4

Divide both the numerator and denominator by the GCD:

21684
10000

=

21684 ÷ 4
10000 ÷ 4

=

5421
2500
Related Conversions
Other decimal to fraction conversions you might find useful