Converting 40.218624 to a Fraction
Step-by-step explanation of how to convert 40.218624 to a fraction
Result
40.218624 =
628416
15625
Mixed number:
40
3416
15625
Step 1: Identify the number of decimal places
The decimal 40.218624 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
40.218624 × 1000000 = 40218624
Step 3: Write as a fraction
40.218624 =
40218624
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40218624 and 1000000.
GCD(40218624, 1000000) = 64
Divide both the numerator and denominator by the GCD:
40218624
1000000
=
40218624 ÷ 64
1000000 ÷ 64
=
628416
15625
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