Converting 49.4256 to a Fraction
Step-by-step explanation of how to convert 49.4256 to a fraction
Result
49.4256 =
30891
625
Mixed number:
49
266
625
Step 1: Identify the number of decimal places
The decimal 49.4256 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
49.4256 × 10000 = 494256
Step 3: Write as a fraction
49.4256 =
494256
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 494256 and 10000.
GCD(494256, 10000) = 16
Divide both the numerator and denominator by the GCD:
494256
10000
=
494256 ÷ 16
10000 ÷ 16
=
30891
625
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