Converting 4.4576 to a Fraction
Step-by-step explanation of how to convert 4.4576 to a fraction
Result
4.4576 =
2786
625
Mixed number:
4
286
625
Step 1: Identify the number of decimal places
The decimal 4.4576 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
4.4576 × 10000 = 44576
Step 3: Write as a fraction
4.4576 =
44576
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 44576 and 10000.
GCD(44576, 10000) = 16
Divide both the numerator and denominator by the GCD:
44576
10000
=
44576 ÷ 16
10000 ÷ 16
=
2786
625
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