Converting 13.4224 to a Fraction
Step-by-step explanation of how to convert 13.4224 to a fraction

Result

13.4224 =
8389
625
Mixed number:
13
264
625

Step 1: Identify the number of decimal places

The decimal 13.4224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

13.4224 × 10000 = 134224

Step 3: Write as a fraction

13.4224 =

134224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 134224 and 10000.

GCD(134224, 10000) = 16

Divide both the numerator and denominator by the GCD:

134224
10000

=

134224 ÷ 16
10000 ÷ 16

=

8389
625
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