Converting 3.7098 to a Fraction
Step-by-step explanation of how to convert 3.7098 to a fraction

Result

3.7098 =
18549
5000
Mixed number:
3
3549
5000

Step 1: Identify the number of decimal places

The decimal 3.7098 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.7098 × 10000 = 37098

Step 3: Write as a fraction

3.7098 =

37098
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37098 and 10000.

GCD(37098, 10000) = 2

Divide both the numerator and denominator by the GCD:

37098
10000

=

37098 ÷ 2
10000 ÷ 2

=

18549
5000
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