Converting 4.0505 to a Fraction
Step-by-step explanation of how to convert 4.0505 to a fraction
Result
4.0505 =
8101
2000
Mixed number:
4
101
2000
Step 1: Identify the number of decimal places
The decimal 4.0505 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.0505 × 10000 = 40505
Step 3: Write as a fraction
4.0505 =
40505
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 40505 and 10000.
GCD(40505, 10000) = 5
Divide both the numerator and denominator by the GCD:
40505
10000
=
40505 ÷ 5
10000 ÷ 5
=
8101
2000
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