To convert the improper fraction 36/16 to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide them both by it.
The prime factorization of 36 is 2^2 * 3^2, and the prime factorization of 16 is 2^4.
To find the GCD, we can cancel out the common factors in the numerator and the denominator:
36/16 = (2^2 * 3^2)/(2^4) = (2^2/2^4) * (3^2) = 1/2^2 * 3^2 = 1/4 * 9 = 9/4
Therefore, the lowest terms of 36/16 are 9/4.
36:16 simply the improper fraction to its lowest terms.
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