Converting 4.94875 to a Fraction
Step-by-step explanation of how to convert 4.94875 to a fraction

Result

4.94875 =
3959
800
Mixed number:
4
759
800

Step 1: Identify the number of decimal places

The decimal 4.94875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.94875 × 100000 = 494875

Step 3: Write as a fraction

4.94875 =

494875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 494875 and 100000.

GCD(494875, 100000) = 125

Divide both the numerator and denominator by the GCD:

494875
100000

=

494875 ÷ 125
100000 ÷ 125

=

3959
800
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