Converting 49.8048 to a Fraction
Step-by-step explanation of how to convert 49.8048 to a fraction

Result

49.8048 =
31128
625
Mixed number:
49
503
625

Step 1: Identify the number of decimal places

The decimal 49.8048 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.8048 × 10000 = 498048

Step 3: Write as a fraction

49.8048 =

498048
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 498048 and 10000.

GCD(498048, 10000) = 16

Divide both the numerator and denominator by the GCD:

498048
10000

=

498048 ÷ 16
10000 ÷ 16

=

31128
625
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