Question

Reduce the fraction 16/24 to the lowest terms. Show how to calculate the greatest common divisor by the step approach.

a) 1/2
b) 2/3
c) 3/4
d) 4/5

Answer 1

To reduce the fraction 16/24 to the lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 16 and 24 is 8, so dividing both the numerator and denominator by 8 gives us the reduced fraction 2/3.

Step-by-step explanation:

To reduce the fraction 16/24 to the lowest terms, we need to find the greatest common divisor (GCD) of the numerator and denominator. Here are the steps:

1. Find the factors of 16: 1, 2, 4, 8, 16.
2. Find the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
3. Identify the common factors: 1, 2, 4, 8.
4. The largest common factor is 8.
5. Divide both the numerator and denominator by the GCD: 16 ÷ 8 = 2 and 24 ÷ 8 = 3.

Therefore, the fraction 16/24 can be reduced to 2/3.