Converting 40.227744 to a Fraction
Step-by-step explanation of how to convert 40.227744 to a fraction
Result
40.227744 =
1257117
31250
Mixed number:
40
7117
31250
Step 1: Identify the number of decimal places
The decimal 40.227744 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.227744 × 1000000 = 40227744
Step 3: Write as a fraction
40.227744 =
40227744
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40227744 and 1000000.
GCD(40227744, 1000000) = 32
Divide both the numerator and denominator by the GCD:
40227744
1000000
=
40227744 ÷ 32
1000000 ÷ 32
=
1257117
31250
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