Converting 4.6728 to a Fraction
Step-by-step explanation of how to convert 4.6728 to a fraction

Result

4.6728 =
5841
1250
Mixed number:
4
841
1250

Step 1: Identify the number of decimal places

The decimal 4.6728 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

4.6728 × 10000 = 46728

Step 3: Write as a fraction

4.6728 =

46728
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 46728 and 10000.

GCD(46728, 10000) = 8

Divide both the numerator and denominator by the GCD:

46728
10000

=

46728 ÷ 8
10000 ÷ 8

=

5841
1250
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