Converting 29.314 to a Fraction
Step-by-step explanation of how to convert 29.314 to a fraction

Result

29.314 =
14657
500
Mixed number:
29
157
500

Step 1: Identify the number of decimal places

The decimal 29.314 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

29.314 × 1000 = 29314

Step 3: Write as a fraction

29.314 =

29314
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 29314 and 1000.

GCD(29314, 1000) = 2

Divide both the numerator and denominator by the GCD:

29314
1000

=

29314 ÷ 2
1000 ÷ 2

=

14657
500
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