Converting 0.10225 to a Fraction
Step-by-step explanation of how to convert 0.10225 to a fraction

Result

0.10225 =
409
4000

Step 1: Identify the number of decimal places

The decimal 0.10225 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.10225 × 100000 = 10225

Step 3: Write as a fraction

0.10225 =

10225
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10225 and 100000.

GCD(10225, 100000) = 25

Divide both the numerator and denominator by the GCD:

10225
100000

=

10225 ÷ 25
100000 ÷ 25

=

409
4000
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