Converting 40.12376 to a Fraction
Step-by-step explanation of how to convert 40.12376 to a fraction

Result

40.12376 =
501547
12500
Mixed number:
40
1547
12500

Step 1: Identify the number of decimal places

The decimal 40.12376 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.12376 × 100000 = 4012376

Step 3: Write as a fraction

40.12376 =

4012376
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4012376 and 100000.

GCD(4012376, 100000) = 8

Divide both the numerator and denominator by the GCD:

4012376
100000

=

4012376 ÷ 8
100000 ÷ 8

=

501547
12500
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