Converting 41.826 to a Fraction
Step-by-step explanation of how to convert 41.826 to a fraction

Result

41.826 =
20913
500
Mixed number:
41
413
500

Step 1: Identify the number of decimal places

The decimal 41.826 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

41.826 × 1000 = 41826

Step 3: Write as a fraction

41.826 =

41826
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 41826 and 1000.

GCD(41826, 1000) = 2

Divide both the numerator and denominator by the GCD:

41826
1000

=

41826 ÷ 2
1000 ÷ 2

=

20913
500
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