Converting 37.749504 to a Fraction
Step-by-step explanation of how to convert 37.749504 to a fraction
Result
37.749504 =
589836
15625
Mixed number:
37
11711
15625
Step 1: Identify the number of decimal places
The decimal 37.749504 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
37.749504 × 1000000 = 37749504
Step 3: Write as a fraction
37.749504 =
37749504
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37749504 and 1000000.
GCD(37749504, 1000000) = 64
Divide both the numerator and denominator by the GCD:
37749504
1000000
=
37749504 ÷ 64
1000000 ÷ 64
=
589836
15625
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