Converting 40.48376 to a Fraction
Step-by-step explanation of how to convert 40.48376 to a fraction

Result

40.48376 =
506047
12500
Mixed number:
40
6047
12500

Step 1: Identify the number of decimal places

The decimal 40.48376 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

40.48376 × 100000 = 4048376

Step 3: Write as a fraction

40.48376 =

4048376
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4048376 and 100000.

GCD(4048376, 100000) = 8

Divide both the numerator and denominator by the GCD:

4048376
100000

=

4048376 ÷ 8
100000 ÷ 8

=

506047
12500
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