Converting 47.724928 to a Fraction
Step-by-step explanation of how to convert 47.724928 to a fraction

Result

47.724928 =
745702
15625
Mixed number:
47
11327
15625

Step 1: Identify the number of decimal places

The decimal 47.724928 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

47.724928 × 1000000 = 47724928

Step 3: Write as a fraction

47.724928 =

47724928
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47724928 and 1000000.

GCD(47724928, 1000000) = 64

Divide both the numerator and denominator by the GCD:

47724928
1000000

=

47724928 ÷ 64
1000000 ÷ 64

=

745702
15625
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