Converting 47.64064 to a Fraction
Step-by-step explanation of how to convert 47.64064 to a fraction

Result

47.64064 =
148877
3125
Mixed number:
47
2002
3125

Step 1: Identify the number of decimal places

The decimal 47.64064 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.64064 × 100000 = 4764064

Step 3: Write as a fraction

47.64064 =

4764064
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4764064 and 100000.

GCD(4764064, 100000) = 32

Divide both the numerator and denominator by the GCD:

4764064
100000

=

4764064 ÷ 32
100000 ÷ 32

=

148877
3125
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