Converting 47.13664 to a Fraction
Step-by-step explanation of how to convert 47.13664 to a fraction

Result

47.13664 =
147302
3125
Mixed number:
47
427
3125

Step 1: Identify the number of decimal places

The decimal 47.13664 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

47.13664 × 100000 = 4713664

Step 3: Write as a fraction

47.13664 =

4713664
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4713664 and 100000.

GCD(4713664, 100000) = 32

Divide both the numerator and denominator by the GCD:

4713664
100000

=

4713664 ÷ 32
100000 ÷ 32

=

147302
3125
Related Conversions
Other decimal to fraction conversions you might find useful