Converting 40.823744 to a Fraction
Step-by-step explanation of how to convert 40.823744 to a fraction

Result

40.823744 =
637871
15625
Mixed number:
40
12871
15625

Step 1: Identify the number of decimal places

The decimal 40.823744 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.823744 × 1000000 = 40823744

Step 3: Write as a fraction

40.823744 =

40823744
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40823744 and 1000000.

GCD(40823744, 1000000) = 64

Divide both the numerator and denominator by the GCD:

40823744
1000000

=

40823744 ÷ 64
1000000 ÷ 64

=

637871
15625
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