Converting 47.4944 to a Fraction
Step-by-step explanation of how to convert 47.4944 to a fraction
Result
47.4944 =
29684
625
Mixed number:
47
309
625
Step 1: Identify the number of decimal places
The decimal 47.4944 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
47.4944 × 10000 = 474944
Step 3: Write as a fraction
47.4944 =
474944
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 474944 and 10000.
GCD(474944, 10000) = 16
Divide both the numerator and denominator by the GCD:
474944
10000
=
474944 ÷ 16
10000 ÷ 16
=
29684
625
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