Converting 40.202264 to a Fraction
Step-by-step explanation of how to convert 40.202264 to a fraction
Result
40.202264 =
5025283
125000
Mixed number:
40
25283
125000
Step 1: Identify the number of decimal places
The decimal 40.202264 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.202264 × 1000000 = 40202264
Step 3: Write as a fraction
40.202264 =
40202264
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40202264 and 1000000.
GCD(40202264, 1000000) = 8
Divide both the numerator and denominator by the GCD:
40202264
1000000
=
40202264 ÷ 8
1000000 ÷ 8
=
5025283
125000
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