Converting 4.71625 to a Fraction
Step-by-step explanation of how to convert 4.71625 to a fraction

Result

4.71625 =
3773
800
Mixed number:
4
573
800

Step 1: Identify the number of decimal places

The decimal 4.71625 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.71625 × 100000 = 471625

Step 3: Write as a fraction

4.71625 =

471625
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 471625 and 100000.

GCD(471625, 100000) = 125

Divide both the numerator and denominator by the GCD:

471625
100000

=

471625 ÷ 125
100000 ÷ 125

=

3773
800
Related Conversions
Other decimal to fraction conversions you might find useful