Converting 47.3536 to a Fraction
Step-by-step explanation of how to convert 47.3536 to a fraction

Result

47.3536 =
29596
625
Mixed number:
47
221
625

Step 1: Identify the number of decimal places

The decimal 47.3536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

47.3536 × 10000 = 473536

Step 3: Write as a fraction

47.3536 =

473536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 473536 and 10000.

GCD(473536, 10000) = 16

Divide both the numerator and denominator by the GCD:

473536
10000

=

473536 ÷ 16
10000 ÷ 16

=

29596
625
Related Conversions
Other decimal to fraction conversions you might find useful