36:16 simply the improper fraction to its lowest terms.
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.
To convert the improper fraction 36/16 to its lowest terms, you need to simplify it by finding the greatest common divisor (GCD) of the numerator and the denominator.
1. First, find the GCD of 36 and 16.
- The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
- The factors of 16 are 1, 2, 4, 8, and 16.
- The GCD of 36 and 16 is 4.
2. Divide both the numerator and the denominator by the GCD (4) to simplify the fraction.
- Divide 36 by 4: 36/4 = 9
- Divide 16 by 4: 16/4 = 4
Therefore, the simplified form of the fraction 36/16 is 9/4 in its lowest terms.
To simplify the improper fraction 36/16 to its lowest terms, you need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. Once you find the GCD, you can divide both the numerator and denominator by it to simplify the fraction.
In this case, the numerator is 36 and the denominator is 16. To find the GCD, you can list the factors of each number and find the largest common factor:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 16: 1, 2, 4, 8, 16
The largest common factor of 36 and 16 is 4. Therefore, you can divide both the numerator and the denominator by 4:
36 ÷ 4 = 9
16 ÷ 4 = 4
The simplified fraction in lowest terms is 9/4.