Converting 49.9984 to a Fraction
Step-by-step explanation of how to convert 49.9984 to a fraction

Result

49.9984 =
31249
625
Mixed number:
49
624
625

Step 1: Identify the number of decimal places

The decimal 49.9984 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.9984 × 10000 = 499984

Step 3: Write as a fraction

49.9984 =

499984
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 499984 and 10000.

GCD(499984, 10000) = 16

Divide both the numerator and denominator by the GCD:

499984
10000

=

499984 ÷ 16
10000 ÷ 16

=

31249
625
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