Converting 3.67675 to a Fraction
Step-by-step explanation of how to convert 3.67675 to a fraction

Result

3.67675 =
14707
4000
Mixed number:
3
2707
4000

Step 1: Identify the number of decimal places

The decimal 3.67675 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.67675 × 100000 = 367675

Step 3: Write as a fraction

3.67675 =

367675
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 367675 and 100000.

GCD(367675, 100000) = 25

Divide both the numerator and denominator by the GCD:

367675
100000

=

367675 ÷ 25
100000 ÷ 25

=

14707
4000
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