Converting 3.78928 to a Fraction
Step-by-step explanation of how to convert 3.78928 to a fraction
Result
3.78928 =
23683
6250
Mixed number:
3
4933
6250
Step 1: Identify the number of decimal places
The decimal 3.78928 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.78928 × 100000 = 378928
Step 3: Write as a fraction
3.78928 =
378928
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 378928 and 100000.
GCD(378928, 100000) = 16
Divide both the numerator and denominator by the GCD:
378928
100000
=
378928 ÷ 16
100000 ÷ 16
=
23683
6250
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