Converting 4.9728 to a Fraction
Step-by-step explanation of how to convert 4.9728 to a fraction

Result

4.9728 =
3108
625
Mixed number:
4
608
625

Step 1: Identify the number of decimal places

The decimal 4.9728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.9728 × 10000 = 49728

Step 3: Write as a fraction

4.9728 =

49728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49728 and 10000.

GCD(49728, 10000) = 16

Divide both the numerator and denominator by the GCD:

49728
10000

=

49728 ÷ 16
10000 ÷ 16

=

3108
625
Related Conversions
Other decimal to fraction conversions you might find useful