Converting 40.289984 to a Fraction
Step-by-step explanation of how to convert 40.289984 to a fraction

Result

40.289984 =
629531
15625
Mixed number:
40
4531
15625

Step 1: Identify the number of decimal places

The decimal 40.289984 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.289984 × 1000000 = 40289984

Step 3: Write as a fraction

40.289984 =

40289984
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40289984 and 1000000.

GCD(40289984, 1000000) = 64

Divide both the numerator and denominator by the GCD:

40289984
1000000

=

40289984 ÷ 64
1000000 ÷ 64

=

629531
15625
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