Converting 1.098 to a Fraction
Step-by-step explanation of how to convert 1.098 to a fraction

Result

1.098 =
549
500
Mixed number:
1
49
500

Step 1: Identify the number of decimal places

The decimal 1.098 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

1.098 × 1000 = 1098

Step 3: Write as a fraction

1.098 =

1098
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1098 and 1000.

GCD(1098, 1000) = 2

Divide both the numerator and denominator by the GCD:

1098
1000

=

1098 ÷ 2
1000 ÷ 2

=

549
500
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