Converting 40.53824 to a Fraction
Step-by-step explanation of how to convert 40.53824 to a fraction
Result
40.53824 =
126682
3125
Mixed number:
40
1682
3125
Step 1: Identify the number of decimal places
The decimal 40.53824 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
40.53824 × 100000 = 4053824
Step 3: Write as a fraction
40.53824 =
4053824
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4053824 and 100000.
GCD(4053824, 100000) = 32
Divide both the numerator and denominator by the GCD:
4053824
100000
=
4053824 ÷ 32
100000 ÷ 32
=
126682
3125
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