Converting 49.4456 to a Fraction
Step-by-step explanation of how to convert 49.4456 to a fraction

Result

49.4456 =
61807
1250
Mixed number:
49
557
1250

Step 1: Identify the number of decimal places

The decimal 49.4456 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.4456 × 10000 = 494456

Step 3: Write as a fraction

49.4456 =

494456
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 494456 and 10000.

GCD(494456, 10000) = 8

Divide both the numerator and denominator by the GCD:

494456
10000

=

494456 ÷ 8
10000 ÷ 8

=

61807
1250
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