Converting 10.22 to a Fraction
Step-by-step explanation of how to convert 10.22 to a fraction
Result
10.22 =
511
50
Mixed number:
10
11
50
Step 1: Identify the number of decimal places
The decimal 10.22 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.22 × 100 = 1022
Step 3: Write as a fraction
10.22 =
1022
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1022 and 100.
GCD(1022, 100) = 2
Divide both the numerator and denominator by the GCD:
1022
100
=
1022 ÷ 2
100 ÷ 2
=
511
50
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