Converting 2.1764 to a Fraction
Step-by-step explanation of how to convert 2.1764 to a fraction
Result
2.1764 =
5441
2500
Mixed number:
2
441
2500
Step 1: Identify the number of decimal places
The decimal 2.1764 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1764 × 10000 = 21764
Step 3: Write as a fraction
2.1764 =
21764
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21764 and 10000.
GCD(21764, 10000) = 4
Divide both the numerator and denominator by the GCD:
21764
10000
=
21764 ÷ 4
10000 ÷ 4
=
5441
2500
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