Converting 0.10226 to a Fraction
Step-by-step explanation of how to convert 0.10226 to a fraction

Result

0.10226 =
5113
50000

Step 1: Identify the number of decimal places

The decimal 0.10226 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.10226 × 100000 = 10226

Step 3: Write as a fraction

0.10226 =

10226
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10226 and 100000.

GCD(10226, 100000) = 2

Divide both the numerator and denominator by the GCD:

10226
100000

=

10226 ÷ 2
100000 ÷ 2

=

5113
50000
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