Converting 40.4244 to a Fraction
Step-by-step explanation of how to convert 40.4244 to a fraction

Result

40.4244 =
101061
2500
Mixed number:
40
1061
2500

Step 1: Identify the number of decimal places

The decimal 40.4244 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.4244 × 10000 = 404244

Step 3: Write as a fraction

40.4244 =

404244
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 404244 and 10000.

GCD(404244, 10000) = 4

Divide both the numerator and denominator by the GCD:

404244
10000

=

404244 ÷ 4
10000 ÷ 4

=

101061
2500
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