Converting 0.225416 to a Fraction
Step-by-step explanation of how to convert 0.225416 to a fraction

Result

0.225416 =
28177
125000

Step 1: Identify the number of decimal places

The decimal 0.225416 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

0.225416 × 1000000 = 225416

Step 3: Write as a fraction

0.225416 =

225416
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 225416 and 1000000.

GCD(225416, 1000000) = 8

Divide both the numerator and denominator by the GCD:

225416
1000000

=

225416 ÷ 8
1000000 ÷ 8

=

28177
125000
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