Converting 4.6224 to a Fraction
Step-by-step explanation of how to convert 4.6224 to a fraction
Result
4.6224 =
2889
625
Mixed number:
4
389
625
Step 1: Identify the number of decimal places
The decimal 4.6224 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.6224 × 10000 = 46224
Step 3: Write as a fraction
4.6224 =
46224
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 46224 and 10000.
GCD(46224, 10000) = 16
Divide both the numerator and denominator by the GCD:
46224
10000
=
46224 ÷ 16
10000 ÷ 16
=
2889
625
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