Converting 2.8625 to a Fraction
Step-by-step explanation of how to convert 2.8625 to a fraction

Result

2.8625 =
229
80
Mixed number:
2
69
80

Step 1: Identify the number of decimal places

The decimal 2.8625 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

2.8625 × 10000 = 28625

Step 3: Write as a fraction

2.8625 =

28625
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28625 and 10000.

GCD(28625, 10000) = 125

Divide both the numerator and denominator by the GCD:

28625
10000

=

28625 ÷ 125
10000 ÷ 125

=

229
80
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