Converting 3.826 to a Fraction
Step-by-step explanation of how to convert 3.826 to a fraction
Result
3.826 =
1913
500
Mixed number:
3
413
500
Step 1: Identify the number of decimal places
The decimal 3.826 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
3.826 × 1000 = 3826
Step 3: Write as a fraction
3.826 =
3826
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 3826 and 1000.
GCD(3826, 1000) = 2
Divide both the numerator and denominator by the GCD:
3826
1000
=
3826 ÷ 2
1000 ÷ 2
=
1913
500
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