Converting 4.6444 to a Fraction
Step-by-step explanation of how to convert 4.6444 to a fraction

Result

4.6444 =
11611
2500
Mixed number:
4
1611
2500

Step 1: Identify the number of decimal places

The decimal 4.6444 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6444 × 10000 = 46444

Step 3: Write as a fraction

4.6444 =

46444
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46444 and 10000.

GCD(46444, 10000) = 4

Divide both the numerator and denominator by the GCD:

46444
10000

=

46444 ÷ 4
10000 ÷ 4

=

11611
2500
Related Conversions
Other decimal to fraction conversions you might find useful