Converting 3.8076 to a Fraction
Step-by-step explanation of how to convert 3.8076 to a fraction
Result
3.8076 =
9519
2500
Mixed number:
3
2019
2500
Step 1: Identify the number of decimal places
The decimal 3.8076 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.8076 × 10000 = 38076
Step 3: Write as a fraction
3.8076 =
38076
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38076 and 10000.
GCD(38076, 10000) = 4
Divide both the numerator and denominator by the GCD:
38076
10000
=
38076 ÷ 4
10000 ÷ 4
=
9519
2500
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