Converting 4.098 to a Fraction
Step-by-step explanation of how to convert 4.098 to a fraction

Result

4.098 =
2049
500
Mixed number:
4
49
500

Step 1: Identify the number of decimal places

The decimal 4.098 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

4.098 × 1000 = 4098

Step 3: Write as a fraction

4.098 =

4098
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4098 and 1000.

GCD(4098, 1000) = 2

Divide both the numerator and denominator by the GCD:

4098
1000

=

4098 ÷ 2
1000 ÷ 2

=

2049
500
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