Converting 10.11 to a Fraction
Step-by-step explanation of how to convert 10.11 to a fraction
Result
10.11 =
1011
100
Mixed number:
10
11
100
Step 1: Identify the number of decimal places
The decimal 10.11 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.11 × 100 = 1011
Step 3: Write as a fraction
10.11 =
1011
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1011 and 100.
GCD(1011, 100) = 1
Divide both the numerator and denominator by the GCD:
1011
100
=
1011 ÷ 1
100 ÷ 1
=
1011
100
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