Converting 4.4624 to a Fraction
Step-by-step explanation of how to convert 4.4624 to a fraction
Result
4.4624 =
2789
625
Mixed number:
4
289
625
Step 1: Identify the number of decimal places
The decimal 4.4624 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.4624 × 10000 = 44624
Step 3: Write as a fraction
4.4624 =
44624
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 44624 and 10000.
GCD(44624, 10000) = 16
Divide both the numerator and denominator by the GCD:
44624
10000
=
44624 ÷ 16
10000 ÷ 16
=
2789
625
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