Converting 10.65 to a Fraction
Step-by-step explanation of how to convert 10.65 to a fraction
Result
10.65 =
213
20
Mixed number:
10
13
20
Step 1: Identify the number of decimal places
The decimal 10.65 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
10.65 × 100 = 1065
Step 3: Write as a fraction
10.65 =
1065
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1065 and 100.
GCD(1065, 100) = 5
Divide both the numerator and denominator by the GCD:
1065
100
=
1065 ÷ 5
100 ÷ 5
=
213
20
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