Converting 8.4224 to a Fraction
Step-by-step explanation of how to convert 8.4224 to a fraction

Result

8.4224 =
5264
625
Mixed number:
8
264
625

Step 1: Identify the number of decimal places

The decimal 8.4224 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

8.4224 × 10000 = 84224

Step 3: Write as a fraction

8.4224 =

84224
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 84224 and 10000.

GCD(84224, 10000) = 16

Divide both the numerator and denominator by the GCD:

84224
10000

=

84224 ÷ 16
10000 ÷ 16

=

5264
625
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