Converting 9.898 to a Fraction
Step-by-step explanation of how to convert 9.898 to a fraction

Result

9.898 =
4949
500
Mixed number:
9
449
500

Step 1: Identify the number of decimal places

The decimal 9.898 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

9.898 × 1000 = 9898

Step 3: Write as a fraction

9.898 =

9898
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 9898 and 1000.

GCD(9898, 1000) = 2

Divide both the numerator and denominator by the GCD:

9898
1000

=

9898 ÷ 2
1000 ÷ 2

=

4949
500
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