Converting 10.2212 to a Fraction
Step-by-step explanation of how to convert 10.2212 to a fraction

Result

10.2212 =
25553
2500
Mixed number:
10
553
2500

Step 1: Identify the number of decimal places

The decimal 10.2212 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.2212 × 10000 = 102212

Step 3: Write as a fraction

10.2212 =

102212
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 102212 and 10000.

GCD(102212, 10000) = 4

Divide both the numerator and denominator by the GCD:

102212
10000

=

102212 ÷ 4
10000 ÷ 4

=

25553
2500
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