Converting 0.098 to a Fraction
Step-by-step explanation of how to convert 0.098 to a fraction

Result

0.098 =
49
500

Step 1: Identify the number of decimal places

The decimal 0.098 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.098 × 1000 = 98

Step 3: Write as a fraction

0.098 =

98
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 98 and 1000.

GCD(98, 1000) = 2

Divide both the numerator and denominator by the GCD:

98
1000

=

98 ÷ 2
1000 ÷ 2

=

49
500
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