Converting 4.8198 to a Fraction
Step-by-step explanation of how to convert 4.8198 to a fraction

Result

4.8198 =
24099
5000
Mixed number:
4
4099
5000

Step 1: Identify the number of decimal places

The decimal 4.8198 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.8198 × 10000 = 48198

Step 3: Write as a fraction

4.8198 =

48198
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 48198 and 10000.

GCD(48198, 10000) = 2

Divide both the numerator and denominator by the GCD:

48198
10000

=

48198 ÷ 2
10000 ÷ 2

=

24099
5000
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