Converting 71.4536 to a Fraction
Step-by-step explanation of how to convert 71.4536 to a fraction

Result

71.4536 =
89317
1250
Mixed number:
71
567
1250

Step 1: Identify the number of decimal places

The decimal 71.4536 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

71.4536 × 10000 = 714536

Step 3: Write as a fraction

71.4536 =

714536
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 714536 and 10000.

GCD(714536, 10000) = 8

Divide both the numerator and denominator by the GCD:

714536
10000

=

714536 ÷ 8
10000 ÷ 8

=

89317
1250
Related Conversions
Other decimal to fraction conversions you might find useful