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To express 0.36 as the quotient of two integers in simplest form, we first multiply by 100 to get rid of the decimal point: 0.36 x 100 = 36. This gives us the fraction 36/100. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 4. Therefore, 36/100 simplifies to 9/25.
When we want to find the quotient of two integers in simplest form, they are simply asking for a fraction that is simplified. What we have here is 36/100 (0.36). We've turned it back into a fraction which is a quotient of two integers.
Now we need only simplify 36/100, which is 9/25. So therefore 9 ÷ 25 = 0.36.
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