Converting 10.098 to a Fraction
Step-by-step explanation of how to convert 10.098 to a fraction

Result

10.098 =
5049
500
Mixed number:
10
49
500

Step 1: Identify the number of decimal places

The decimal 10.098 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.098 × 1000 = 10098

Step 3: Write as a fraction

10.098 =

10098
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10098 and 1000.

GCD(10098, 1000) = 2

Divide both the numerator and denominator by the GCD:

10098
1000

=

10098 ÷ 2
1000 ÷ 2

=

5049
500
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