Converting 4.5144 to a Fraction
Step-by-step explanation of how to convert 4.5144 to a fraction

Result

4.5144 =
5643
1250
Mixed number:
4
643
1250

Step 1: Identify the number of decimal places

The decimal 4.5144 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.5144 × 10000 = 45144

Step 3: Write as a fraction

4.5144 =

45144
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 45144 and 10000.

GCD(45144, 10000) = 8

Divide both the numerator and denominator by the GCD:

45144
10000

=

45144 ÷ 8
10000 ÷ 8

=

5643
1250
Related Conversions
Other decimal to fraction conversions you might find useful