Converting 28.5864 to a Fraction
Step-by-step explanation of how to convert 28.5864 to a fraction

Result

28.5864 =
35733
1250
Mixed number:
28
733
1250

Step 1: Identify the number of decimal places

The decimal 28.5864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.5864 × 10000 = 285864

Step 3: Write as a fraction

28.5864 =

285864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 285864 and 10000.

GCD(285864, 10000) = 8

Divide both the numerator and denominator by the GCD:

285864
10000

=

285864 ÷ 8
10000 ÷ 8

=

35733
1250
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