Converting 71.2624 to a Fraction
Step-by-step explanation of how to convert 71.2624 to a fraction

Result

71.2624 =
44539
625
Mixed number:
71
164
625

Step 1: Identify the number of decimal places

The decimal 71.2624 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

71.2624 × 10000 = 712624

Step 3: Write as a fraction

71.2624 =

712624
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 712624 and 10000.

GCD(712624, 10000) = 16

Divide both the numerator and denominator by the GCD:

712624
10000

=

712624 ÷ 16
10000 ÷ 16

=

44539
625
Related Conversions
Other decimal to fraction conversions you might find useful