Converting 4.6842 to a Fraction
Step-by-step explanation of how to convert 4.6842 to a fraction

Result

4.6842 =
23421
5000
Mixed number:
4
3421
5000

Step 1: Identify the number of decimal places

The decimal 4.6842 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6842 × 10000 = 46842

Step 3: Write as a fraction

4.6842 =

46842
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46842 and 10000.

GCD(46842, 10000) = 2

Divide both the numerator and denominator by the GCD:

46842
10000

=

46842 ÷ 2
10000 ÷ 2

=

23421
5000
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