Converting 0.223296 to a Fraction
Step-by-step explanation of how to convert 0.223296 to a fraction

Result

0.223296 =
3489
15625

Step 1: Identify the number of decimal places

The decimal 0.223296 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.223296 × 1000000 = 223296

Step 3: Write as a fraction

0.223296 =

223296
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 223296 and 1000000.

GCD(223296, 1000000) = 64

Divide both the numerator and denominator by the GCD:

223296
1000000

=

223296 ÷ 64
1000000 ÷ 64

=

3489
15625
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