Converting 37.678464 to a Fraction
Step-by-step explanation of how to convert 37.678464 to a fraction
Result
37.678464 =
588726
15625
Mixed number:
37
10601
15625
Step 1: Identify the number of decimal places
The decimal 37.678464 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
37.678464 × 1000000 = 37678464
Step 3: Write as a fraction
37.678464 =
37678464
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 37678464 and 1000000.
GCD(37678464, 1000000) = 64
Divide both the numerator and denominator by the GCD:
37678464
1000000
=
37678464 ÷ 64
1000000 ÷ 64
=
588726
15625
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