Question

Reduce the following fractions to their lowest terms and match with the correct answer shown below:

I. 1/13
II. 3/13
III.1/5
IV. 1/2
V. 3/4

Answer 1

I. 1/13 → 1/13

II. 3/13 → 3/13

III. 1/5 → 1/5

IV. 1/2 → 1/2

V. 3/4 → 3/4

Step-by-step explanation:

To reduce a fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. Let's go through each fraction:

I. 1/13: The GCD of 1 and 13 is 1, so the fraction remains 1/13.

II. 3/13: The GCD of 3 and 13 is 1, so the fraction stays as 3/13.

III. 1/5: The GCD of 1 and 5 is 1, so the fraction is already in its lowest terms as 1/5.

IV. 1/2: The GCD of 1 and 2 is 1, so the fraction remains 1/2.

V. 3/4: The GCD of 3 and 4 is 1, and since there is no common factor other than 1, the fraction remains 3/4.

In summary, all the given fractions are already in their lowest terms except for the case where the fraction is 1/2. The reduction process involves finding the GCD and simplifying the fraction accordingly, ensuring that there is no common factor other than 1 between the numerator and the denominator.