Converting 40.2456 to a Fraction
Step-by-step explanation of how to convert 40.2456 to a fraction
Result
40.2456 =
50307
1250
Mixed number:
40
307
1250
Step 1: Identify the number of decimal places
The decimal 40.2456 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
40.2456 × 10000 = 402456
Step 3: Write as a fraction
40.2456 =
402456
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 402456 and 10000.
GCD(402456, 10000) = 8
Divide both the numerator and denominator by the GCD:
402456
10000
=
402456 ÷ 8
10000 ÷ 8
=
50307
1250
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