Converting 40.46368 to a Fraction
Step-by-step explanation of how to convert 40.46368 to a fraction

Result

40.46368 =
126449
3125
Mixed number:
40
1449
3125

Step 1: Identify the number of decimal places

The decimal 40.46368 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.46368 × 100000 = 4046368

Step 3: Write as a fraction

40.46368 =

4046368
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4046368 and 100000.

GCD(4046368, 100000) = 32

Divide both the numerator and denominator by the GCD:

4046368
100000

=

4046368 ÷ 32
100000 ÷ 32

=

126449
3125
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