Question

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Explanation:

Problem 2: Simplify $\boldsymbol{\frac{16}{30}}$

Step1: Find GCD of 16 and 30

The factors of 16 are 1, 2, 4, 8, 16. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. The greatest common divisor (GCD) is 2.

Step2: Divide numerator and denominator by GCD

Divide 16 and 30 by 2: $\frac{16\div2}{30\div2}=\frac{8}{15}$

Step1: Find GCD of 15 and 45

The factors of 15 are 1, 3, 5, 15. The factors of 45 are 1, 3, 5, 9, 15, 45. The GCD is 15.

Step2: Divide numerator and denominator by GCD

Divide 15 and 45 by 15: $\frac{15\div15}{45\div15}=\frac{1}{3}$

Step1: Find GCD of 27 and 39

The factors of 27 are 1, 3, 9, 27. The factors of 39 are 1, 3, 13, 39. The GCD is 3.

Step2: Divide numerator and denominator by GCD

Divide 27 and 39 by 3: $\frac{27\div3}{39\div3}=\frac{9}{13}$

Answer:

$\frac{16}{30}=\frac{16\div2}{30\div2}=\frac{8}{15}$

Problem 4: Simplify $\boldsymbol{\frac{15}{45}}$