Converting 4.77825 to a Fraction
Step-by-step explanation of how to convert 4.77825 to a fraction

Result

4.77825 =
19113
4000
Mixed number:
4
3113
4000

Step 1: Identify the number of decimal places

The decimal 4.77825 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.77825 × 100000 = 477825

Step 3: Write as a fraction

4.77825 =

477825
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 477825 and 100000.

GCD(477825, 100000) = 25

Divide both the numerator and denominator by the GCD:

477825
100000

=

477825 ÷ 25
100000 ÷ 25

=

19113
4000
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