Converting 2.82125 to a Fraction
Step-by-step explanation of how to convert 2.82125 to a fraction
Result
2.82125 =
2257
800
Mixed number:
2
657
800
Step 1: Identify the number of decimal places
The decimal 2.82125 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.82125 × 100000 = 282125
Step 3: Write as a fraction
2.82125 =
282125
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 282125 and 100000.
GCD(282125, 100000) = 125
Divide both the numerator and denominator by the GCD:
282125
100000
=
282125 ÷ 125
100000 ÷ 125
=
2257
800
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