Converting 40.145216 to a Fraction
Step-by-step explanation of how to convert 40.145216 to a fraction
Result
40.145216 =
627269
15625
Mixed number:
40
2269
15625
Step 1: Identify the number of decimal places
The decimal 40.145216 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.145216 × 1000000 = 40145216
Step 3: Write as a fraction
40.145216 =
40145216
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40145216 and 1000000.
GCD(40145216, 1000000) = 64
Divide both the numerator and denominator by the GCD:
40145216
1000000
=
40145216 ÷ 64
1000000 ÷ 64
=
627269
15625
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