Converting 49.8232 to a Fraction
Step-by-step explanation of how to convert 49.8232 to a fraction

Result

49.8232 =
62279
1250
Mixed number:
49
1029
1250

Step 1: Identify the number of decimal places

The decimal 49.8232 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.8232 × 10000 = 498232

Step 3: Write as a fraction

49.8232 =

498232
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 498232 and 10000.

GCD(498232, 10000) = 8

Divide both the numerator and denominator by the GCD:

498232
10000

=

498232 ÷ 8
10000 ÷ 8

=

62279
1250
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