Converting 2.14375 to a Fraction
Step-by-step explanation of how to convert 2.14375 to a fraction
Result
2.14375 =
343
160
Mixed number:
2
23
160
Step 1: Identify the number of decimal places
The decimal 2.14375 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
2.14375 × 100000 = 214375
Step 3: Write as a fraction
2.14375 =
214375
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 214375 and 100000.
GCD(214375, 100000) = 625
Divide both the numerator and denominator by the GCD:
214375
100000
=
214375 ÷ 625
100000 ÷ 625
=
343
160
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