Converting 40.4628 to a Fraction
Step-by-step explanation of how to convert 40.4628 to a fraction

Result

40.4628 =
101157
2500
Mixed number:
40
1157
2500

Step 1: Identify the number of decimal places

The decimal 40.4628 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.4628 × 10000 = 404628

Step 3: Write as a fraction

40.4628 =

404628
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 404628 and 10000.

GCD(404628, 10000) = 4

Divide both the numerator and denominator by the GCD:

404628
10000

=

404628 ÷ 4
10000 ÷ 4

=

101157
2500
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