Converting 37.8064 to a Fraction
Step-by-step explanation of how to convert 37.8064 to a fraction
Result
37.8064 =
23629
625
Mixed number:
37
504
625
Step 1: Identify the number of decimal places
The decimal 37.8064 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.8064 × 10000 = 378064
Step 3: Write as a fraction
37.8064 =
378064
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 378064 and 10000.
GCD(378064, 10000) = 16
Divide both the numerator and denominator by the GCD:
378064
10000
=
378064 ÷ 16
10000 ÷ 16
=
23629
625
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