Converting 49.6352 to a Fraction
Step-by-step explanation of how to convert 49.6352 to a fraction

Result

49.6352 =
31022
625
Mixed number:
49
397
625

Step 1: Identify the number of decimal places

The decimal 49.6352 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.6352 × 10000 = 496352

Step 3: Write as a fraction

49.6352 =

496352
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 496352 and 10000.

GCD(496352, 10000) = 16

Divide both the numerator and denominator by the GCD:

496352
10000

=

496352 ÷ 16
10000 ÷ 16

=

31022
625
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