Converting 2.098 to a Fraction
Step-by-step explanation of how to convert 2.098 to a fraction
Result
2.098 =
1049
500
Mixed number:
2
49
500
Step 1: Identify the number of decimal places
The decimal 2.098 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.098 × 1000 = 2098
Step 3: Write as a fraction
2.098 =
2098
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2098 and 1000.
GCD(2098, 1000) = 2
Divide both the numerator and denominator by the GCD:
2098
1000
=
2098 ÷ 2
1000 ÷ 2
=
1049
500
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