Converting 37.85824 to a Fraction
Step-by-step explanation of how to convert 37.85824 to a fraction
Result
37.85824 =
118307
3125
Mixed number:
37
2682
3125
Step 1: Identify the number of decimal places
The decimal 37.85824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
37.85824 × 100000 = 3785824
Step 3: Write as a fraction
37.85824 =
3785824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3785824 and 100000.
GCD(3785824, 100000) = 32
Divide both the numerator and denominator by the GCD:
3785824
100000
=
3785824 ÷ 32
100000 ÷ 32
=
118307
3125
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