Converting 40.9812 to a Fraction
Step-by-step explanation of how to convert 40.9812 to a fraction

Result

40.9812 =
102453
2500
Mixed number:
40
2453
2500

Step 1: Identify the number of decimal places

The decimal 40.9812 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.9812 × 10000 = 409812

Step 3: Write as a fraction

40.9812 =

409812
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409812 and 10000.

GCD(409812, 10000) = 4

Divide both the numerator and denominator by the GCD:

409812
10000

=

409812 ÷ 4
10000 ÷ 4

=

102453
2500
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