Converting 14.1604 to a Fraction
Step-by-step explanation of how to convert 14.1604 to a fraction
Result
14.1604 =
35401
2500
Mixed number:
14
401
2500
Step 1: Identify the number of decimal places
The decimal 14.1604 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
14.1604 × 10000 = 141604
Step 3: Write as a fraction
14.1604 =
141604
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 141604 and 10000.
GCD(141604, 10000) = 4
Divide both the numerator and denominator by the GCD:
141604
10000
=
141604 ÷ 4
10000 ÷ 4
=
35401
2500
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