Converting 34.314 to a Fraction
Step-by-step explanation of how to convert 34.314 to a fraction
Result
34.314 =
17157
500
Mixed number:
34
157
500
Step 1: Identify the number of decimal places
The decimal 34.314 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
34.314 × 1000 = 34314
Step 3: Write as a fraction
34.314 =
34314
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 34314 and 1000.
GCD(34314, 1000) = 2
Divide both the numerator and denominator by the GCD:
34314
1000
=
34314 ÷ 2
1000 ÷ 2
=
17157
500
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