Question

Which option shows the following fractions written with a common denominator?

Option 1: 24/24 and 40/40
Option 2: 9/72 and 40/64
Option 3: 24/72 and 40/40
Option 4: 9/24 and 64/40

Answer 1

The correct option with a common denominator is option 3, which presents the fractions 24/72 and 40/72, both sharing the common denominator of 72.

Step-by-step explanation:

The question is about finding a common denominator for a pair of fractions. To find a common denominator, one must find either the least common multiple (LCM) of the denominators or a multiple that both denominators can divide into without leaving a remainder.

Looking at the options presented, option 3 is the correct one because it has the fractions 24/72 and 40/72. Both these fractions have a common denominator of 72. In contrast, other options include fractions that do not have a common denominator, or the fractions are already simplified, which doesn't illustrate the concept of finding a common denominator between two different fractions.

To confirm, option 3 consists of equivalent fractions to any original pair of fractions that these may represent, with 72 being the common denominator.