Converting 10.2222 to a Fraction
Step-by-step explanation of how to convert 10.2222 to a fraction
Result
10.2222 =
51111
5000
Mixed number:
10
1111
5000
Step 1: Identify the number of decimal places
The decimal 10.2222 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
10.2222 × 10000 = 102222
Step 3: Write as a fraction
10.2222 =
102222
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 102222 and 10000.
GCD(102222, 10000) = 2
Divide both the numerator and denominator by the GCD:
102222
10000
=
102222 ÷ 2
10000 ÷ 2
=
51111
5000
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