Converting 29.395 to a Fraction
Step-by-step explanation of how to convert 29.395 to a fraction

Result

29.395 =
5879
200
Mixed number:
29
79
200

Step 1: Identify the number of decimal places

The decimal 29.395 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

29.395 × 1000 = 29395

Step 3: Write as a fraction

29.395 =

29395
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 29395 and 1000.

GCD(29395, 1000) = 5

Divide both the numerator and denominator by the GCD:

29395
1000

=

29395 ÷ 5
1000 ÷ 5

=

5879
200
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