Converting 34.2304 to a Fraction
Step-by-step explanation of how to convert 34.2304 to a fraction

Result

34.2304 =
21394
625
Mixed number:
34
144
625

Step 1: Identify the number of decimal places

The decimal 34.2304 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

34.2304 × 10000 = 342304

Step 3: Write as a fraction

34.2304 =

342304
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 342304 and 10000.

GCD(342304, 10000) = 16

Divide both the numerator and denominator by the GCD:

342304
10000

=

342304 ÷ 16
10000 ÷ 16

=

21394
625
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