Converting 2.89256 to a Fraction
Step-by-step explanation of how to convert 2.89256 to a fraction

Result

2.89256 =
36157
12500
Mixed number:
2
11157
12500

Step 1: Identify the number of decimal places

The decimal 2.89256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.89256 × 100000 = 289256

Step 3: Write as a fraction

2.89256 =

289256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 289256 and 100000.

GCD(289256, 100000) = 8

Divide both the numerator and denominator by the GCD:

289256
100000

=

289256 ÷ 8
100000 ÷ 8

=

36157
12500
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