Converting 17.2314 to a Fraction
Step-by-step explanation of how to convert 17.2314 to a fraction
Result
17.2314 =
86157
5000
Mixed number:
17
1157
5000
Step 1: Identify the number of decimal places
The decimal 17.2314 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
17.2314 × 10000 = 172314
Step 3: Write as a fraction
17.2314 =
172314
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 172314 and 10000.
GCD(172314, 10000) = 2
Divide both the numerator and denominator by the GCD:
172314
10000
=
172314 ÷ 2
10000 ÷ 2
=
86157
5000
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