Converting 47.76432 to a Fraction
Step-by-step explanation of how to convert 47.76432 to a fraction

Result

47.76432 =
298527
6250
Mixed number:
47
4777
6250

Step 1: Identify the number of decimal places

The decimal 47.76432 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.76432 × 100000 = 4776432

Step 3: Write as a fraction

47.76432 =

4776432
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4776432 and 100000.

GCD(4776432, 100000) = 16

Divide both the numerator and denominator by the GCD:

4776432
100000

=

4776432 ÷ 16
100000 ÷ 16

=

298527
6250
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