Converting 2.13825 to a Fraction
Step-by-step explanation of how to convert 2.13825 to a fraction
Result
2.13825 =
8553
4000
Mixed number:
2
553
4000
Step 1: Identify the number of decimal places
The decimal 2.13825 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.13825 × 100000 = 213825
Step 3: Write as a fraction
2.13825 =
213825
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213825 and 100000.
GCD(213825, 100000) = 25
Divide both the numerator and denominator by the GCD:
213825
100000
=
213825 ÷ 25
100000 ÷ 25
=
8553
4000
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