Converting 4.8124 to a Fraction
Step-by-step explanation of how to convert 4.8124 to a fraction

Result

4.8124 =
12031
2500
Mixed number:
4
2031
2500

Step 1: Identify the number of decimal places

The decimal 4.8124 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.8124 × 10000 = 48124

Step 3: Write as a fraction

4.8124 =

48124
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48124 and 10000.

GCD(48124, 10000) = 4

Divide both the numerator and denominator by the GCD:

48124
10000

=

48124 ÷ 4
10000 ÷ 4

=

12031
2500
Related Conversions
Other decimal to fraction conversions you might find useful