Converting 46.22624 to a Fraction
Step-by-step explanation of how to convert 46.22624 to a fraction
Result
46.22624 =
144457
3125
Mixed number:
46
707
3125
Step 1: Identify the number of decimal places
The decimal 46.22624 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
46.22624 × 100000 = 4622624
Step 3: Write as a fraction
46.22624 =
4622624
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 4622624 and 100000.
GCD(4622624, 100000) = 32
Divide both the numerator and denominator by the GCD:
4622624
100000
=
4622624 ÷ 32
100000 ÷ 32
=
144457
3125
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