Converting 34.3664 to a Fraction
Step-by-step explanation of how to convert 34.3664 to a fraction

Result

34.3664 =
21479
625
Mixed number:
34
229
625

Step 1: Identify the number of decimal places

The decimal 34.3664 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

34.3664 × 10000 = 343664

Step 3: Write as a fraction

34.3664 =

343664
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 343664 and 10000.

GCD(343664, 10000) = 16

Divide both the numerator and denominator by the GCD:

343664
10000

=

343664 ÷ 16
10000 ÷ 16

=

21479
625
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