Converting 28.535 to a Fraction
Step-by-step explanation of how to convert 28.535 to a fraction

Result

28.535 =
5707
200
Mixed number:
28
107
200

Step 1: Identify the number of decimal places

The decimal 28.535 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.535 × 1000 = 28535

Step 3: Write as a fraction

28.535 =

28535
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28535 and 1000.

GCD(28535, 1000) = 5

Divide both the numerator and denominator by the GCD:

28535
1000

=

28535 ÷ 5
1000 ÷ 5

=

5707
200
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