Converting 47.2664 to a Fraction
Step-by-step explanation of how to convert 47.2664 to a fraction

Result

47.2664 =
59083
1250
Mixed number:
47
333
1250

Step 1: Identify the number of decimal places

The decimal 47.2664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.2664 × 10000 = 472664

Step 3: Write as a fraction

47.2664 =

472664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 472664 and 10000.

GCD(472664, 10000) = 8

Divide both the numerator and denominator by the GCD:

472664
10000

=

472664 ÷ 8
10000 ÷ 8

=

59083
1250
Related Conversions
Other decimal to fraction conversions you might find useful