Converting 2.1825 to a Fraction
Step-by-step explanation of how to convert 2.1825 to a fraction
Result
2.1825 =
873
400
Mixed number:
2
73
400
Step 1: Identify the number of decimal places
The decimal 2.1825 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
2.1825 × 10000 = 21825
Step 3: Write as a fraction
2.1825 =
21825
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 21825 and 10000.
GCD(21825, 10000) = 25
Divide both the numerator and denominator by the GCD:
21825
10000
=
21825 ÷ 25
10000 ÷ 25
=
873
400
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