Converting 28.2796 to a Fraction
Step-by-step explanation of how to convert 28.2796 to a fraction

Result

28.2796 =
70699
2500
Mixed number:
28
699
2500

Step 1: Identify the number of decimal places

The decimal 28.2796 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

28.2796 × 10000 = 282796

Step 3: Write as a fraction

28.2796 =

282796
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 282796 and 10000.

GCD(282796, 10000) = 4

Divide both the numerator and denominator by the GCD:

282796
10000

=

282796 ÷ 4
10000 ÷ 4

=

70699
2500
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