Converting 2.2144 to a Fraction
Step-by-step explanation of how to convert 2.2144 to a fraction

Result

2.2144 =
1384
625
Mixed number:
2
134
625

Step 1: Identify the number of decimal places

The decimal 2.2144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.2144 × 10000 = 22144

Step 3: Write as a fraction

2.2144 =

22144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 22144 and 10000.

GCD(22144, 10000) = 16

Divide both the numerator and denominator by the GCD:

22144
10000

=

22144 ÷ 16
10000 ÷ 16

=

1384
625
Related Conversions
Other decimal to fraction conversions you might find useful