Converting 39.77256 to a Fraction
Step-by-step explanation of how to convert 39.77256 to a fraction
Result
39.77256 =
497157
12500
Mixed number:
39
9657
12500
Step 1: Identify the number of decimal places
The decimal 39.77256 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
39.77256 × 100000 = 3977256
Step 3: Write as a fraction
39.77256 =
3977256
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3977256 and 100000.
GCD(3977256, 100000) = 8
Divide both the numerator and denominator by the GCD:
3977256
100000
=
3977256 ÷ 8
100000 ÷ 8
=
497157
12500
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