Converting 38.69728 to a Fraction
Step-by-step explanation of how to convert 38.69728 to a fraction
Result
38.69728 =
120929
3125
Mixed number:
38
2179
3125
Step 1: Identify the number of decimal places
The decimal 38.69728 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
38.69728 × 100000 = 3869728
Step 3: Write as a fraction
38.69728 =
3869728
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3869728 and 100000.
GCD(3869728, 100000) = 32
Divide both the numerator and denominator by the GCD:
3869728
100000
=
3869728 ÷ 32
100000 ÷ 32
=
120929
3125
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