Converting 28.4628 to a Fraction
Step-by-step explanation of how to convert 28.4628 to a fraction

Result

28.4628 =
71157
2500
Mixed number:
28
1157
2500

Step 1: Identify the number of decimal places

The decimal 28.4628 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.4628 × 10000 = 284628

Step 3: Write as a fraction

28.4628 =

284628
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 284628 and 10000.

GCD(284628, 10000) = 4

Divide both the numerator and denominator by the GCD:

284628
10000

=

284628 ÷ 4
10000 ÷ 4

=

71157
2500
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