Converting 38.09 to a Fraction
Step-by-step explanation of how to convert 38.09 to a fraction
Result
38.09 =
3809
100
Mixed number:
38
9
100
Step 1: Identify the number of decimal places
The decimal 38.09 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
38.09 × 100 = 3809
Step 3: Write as a fraction
38.09 =
3809
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3809 and 100.
GCD(3809, 100) = 1
Divide both the numerator and denominator by the GCD:
3809
100
=
3809 ÷ 1
100 ÷ 1
=
3809
100
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