Converting 2.13724 to a Fraction
Step-by-step explanation of how to convert 2.13724 to a fraction
Result
2.13724 =
53431
25000
Mixed number:
2
3431
25000
Step 1: Identify the number of decimal places
The decimal 2.13724 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.13724 × 100000 = 213724
Step 3: Write as a fraction
2.13724 =
213724
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 213724 and 100000.
GCD(213724, 100000) = 4
Divide both the numerator and denominator by the GCD:
213724
100000
=
213724 ÷ 4
100000 ÷ 4
=
53431
25000
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