Converting 47.497664 to a Fraction
Step-by-step explanation of how to convert 47.497664 to a fraction

Result

47.497664 =
742151
15625
Mixed number:
47
7776
15625

Step 1: Identify the number of decimal places

The decimal 47.497664 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

47.497664 × 1000000 = 47497664

Step 3: Write as a fraction

47.497664 =

47497664
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 47497664 and 1000000.

GCD(47497664, 1000000) = 64

Divide both the numerator and denominator by the GCD:

47497664
1000000

=

47497664 ÷ 64
1000000 ÷ 64

=

742151
15625
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