Converting 13.4208 to a Fraction
Step-by-step explanation of how to convert 13.4208 to a fraction

Result

13.4208 =
8388
625
Mixed number:
13
263
625

Step 1: Identify the number of decimal places

The decimal 13.4208 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.4208 × 10000 = 134208

Step 3: Write as a fraction

13.4208 =

134208
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 134208 and 10000.

GCD(134208, 10000) = 16

Divide both the numerator and denominator by the GCD:

134208
10000

=

134208 ÷ 16
10000 ÷ 16

=

8388
625
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