Converting 46.21128 to a Fraction
Step-by-step explanation of how to convert 46.21128 to a fraction
Result
46.21128 =
577641
12500
Mixed number:
46
2641
12500
Step 1: Identify the number of decimal places
The decimal 46.21128 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
46.21128 × 100000 = 4621128
Step 3: Write as a fraction
46.21128 =
4621128
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4621128 and 100000.
GCD(4621128, 100000) = 8
Divide both the numerator and denominator by the GCD:
4621128
100000
=
4621128 ÷ 8
100000 ÷ 8
=
577641
12500
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