Converting 28.342 to a Fraction
Step-by-step explanation of how to convert 28.342 to a fraction

Result

28.342 =
14171
500
Mixed number:
28
171
500

Step 1: Identify the number of decimal places

The decimal 28.342 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

28.342 × 1000 = 28342

Step 3: Write as a fraction

28.342 =

28342
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 28342 and 1000.

GCD(28342, 1000) = 2

Divide both the numerator and denominator by the GCD:

28342
1000

=

28342 ÷ 2
1000 ÷ 2

=

14171
500
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