Converting 2.89875 to a Fraction
Step-by-step explanation of how to convert 2.89875 to a fraction
Result
2.89875 =
2319
800
Mixed number:
2
719
800
Step 1: Identify the number of decimal places
The decimal 2.89875 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.89875 × 100000 = 289875
Step 3: Write as a fraction
2.89875 =
289875
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 289875 and 100000.
GCD(289875, 100000) = 125
Divide both the numerator and denominator by the GCD:
289875
100000
=
289875 ÷ 125
100000 ÷ 125
=
2319
800
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