Converting 38.6792 to a Fraction
Step-by-step explanation of how to convert 38.6792 to a fraction
Result
38.6792 =
48349
1250
Mixed number:
38
849
1250
Step 1: Identify the number of decimal places
The decimal 38.6792 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
38.6792 × 10000 = 386792
Step 3: Write as a fraction
38.6792 =
386792
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 386792 and 10000.
GCD(386792, 10000) = 8
Divide both the numerator and denominator by the GCD:
386792
10000
=
386792 ÷ 8
10000 ÷ 8
=
48349
1250
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