Converting 40.9892 to a Fraction
Step-by-step explanation of how to convert 40.9892 to a fraction

Result

40.9892 =
102473
2500
Mixed number:
40
2473
2500

Step 1: Identify the number of decimal places

The decimal 40.9892 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.9892 × 10000 = 409892

Step 3: Write as a fraction

40.9892 =

409892
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 409892 and 10000.

GCD(409892, 10000) = 4

Divide both the numerator and denominator by the GCD:

409892
10000

=

409892 ÷ 4
10000 ÷ 4

=

102473
2500
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