Converting 4.6804 to a Fraction
Step-by-step explanation of how to convert 4.6804 to a fraction

Result

4.6804 =
11701
2500
Mixed number:
4
1701
2500

Step 1: Identify the number of decimal places

The decimal 4.6804 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6804 × 10000 = 46804

Step 3: Write as a fraction

4.6804 =

46804
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46804 and 10000.

GCD(46804, 10000) = 4

Divide both the numerator and denominator by the GCD:

46804
10000

=

46804 ÷ 4
10000 ÷ 4

=

11701
2500
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