Converting 4.73875 to a Fraction
Step-by-step explanation of how to convert 4.73875 to a fraction

Result

4.73875 =
3791
800
Mixed number:
4
591
800

Step 1: Identify the number of decimal places

The decimal 4.73875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.73875 × 100000 = 473875

Step 3: Write as a fraction

4.73875 =

473875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 473875 and 100000.

GCD(473875, 100000) = 125

Divide both the numerator and denominator by the GCD:

473875
100000

=

473875 ÷ 125
100000 ÷ 125

=

3791
800
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