QuestionConvert the decimal to a fraction and simplify if possible.
Studdy Solution
STEP 1
Assumptions1. The given number is a terminating decimal0.66. We need to express this decimal as a quotient of integers3. We need to reduce the fraction to its lowest terms if possible
STEP 2
The given decimal has two digits after the decimal point. Therefore, we can express it as a fraction with denominator100.
STEP 3
Now, we need to simplify this fraction to its lowest terms. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of66 and100 is2.
STEP 4
Now, we divide both the numerator and the denominator by the GCD to simplify the fraction.
STEP 5
Calculate the simplified fraction.
So, the decimal0.66 can be expressed as the fraction33/50 in its lowest terms.
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