Converting 49.4928 to a Fraction
Step-by-step explanation of how to convert 49.4928 to a fraction

Result

49.4928 =
30933
625
Mixed number:
49
308
625

Step 1: Identify the number of decimal places

The decimal 49.4928 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.4928 × 10000 = 494928

Step 3: Write as a fraction

49.4928 =

494928
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 494928 and 10000.

GCD(494928, 10000) = 16

Divide both the numerator and denominator by the GCD:

494928
10000

=

494928 ÷ 16
10000 ÷ 16

=

30933
625
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