Converting 4.89724 to a Fraction
Step-by-step explanation of how to convert 4.89724 to a fraction

Result

4.89724 =
122431
25000
Mixed number:
4
22431
25000

Step 1: Identify the number of decimal places

The decimal 4.89724 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.89724 × 100000 = 489724

Step 3: Write as a fraction

4.89724 =

489724
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 489724 and 100000.

GCD(489724, 100000) = 4

Divide both the numerator and denominator by the GCD:

489724
100000

=

489724 ÷ 4
100000 ÷ 4

=

122431
25000
Related Conversions
Other decimal to fraction conversions you might find useful