Converting 10.02212 to a Fraction
Step-by-step explanation of how to convert 10.02212 to a fraction

Result

10.02212 =
250553
25000
Mixed number:
10
553
25000

Step 1: Identify the number of decimal places

The decimal 10.02212 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.02212 × 100000 = 1002212

Step 3: Write as a fraction

10.02212 =

1002212
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1002212 and 100000.

GCD(1002212, 100000) = 4

Divide both the numerator and denominator by the GCD:

1002212
100000

=

1002212 ÷ 4
100000 ÷ 4

=

250553
25000
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