Converting 2.1144 to a Fraction
Step-by-step explanation of how to convert 2.1144 to a fraction

Result

2.1144 =
2643
1250
Mixed number:
2
143
1250

Step 1: Identify the number of decimal places

The decimal 2.1144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.1144 × 10000 = 21144

Step 3: Write as a fraction

2.1144 =

21144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 21144 and 10000.

GCD(21144, 10000) = 8

Divide both the numerator and denominator by the GCD:

21144
10000

=

21144 ÷ 8
10000 ÷ 8

=

2643
1250
Related Conversions
Other decimal to fraction conversions you might find useful