Converting 38.826 to a Fraction
Step-by-step explanation of how to convert 38.826 to a fraction
Result
38.826 =
19413
500
Mixed number:
38
413
500
Step 1: Identify the number of decimal places
The decimal 38.826 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
38.826 × 1000 = 38826
Step 3: Write as a fraction
38.826 =
38826
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 38826 and 1000.
GCD(38826, 1000) = 2
Divide both the numerator and denominator by the GCD:
38826
1000
=
38826 ÷ 2
1000 ÷ 2
=
19413
500
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