Converting 40.968256 to a Fraction
Step-by-step explanation of how to convert 40.968256 to a fraction

Result

40.968256 =
640129
15625
Mixed number:
40
15129
15625

Step 1: Identify the number of decimal places

The decimal 40.968256 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

40.968256 × 1000000 = 40968256

Step 3: Write as a fraction

40.968256 =

40968256
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40968256 and 1000000.

GCD(40968256, 1000000) = 64

Divide both the numerator and denominator by the GCD:

40968256
1000000

=

40968256 ÷ 64
1000000 ÷ 64

=

640129
15625
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