Question

Change the following pair of tions to equivalent tions with a common denominater:

A. 1/4
B. 1/6

Answer 1

The fractions 1/4 and 1/6 can be converted to equivalent fractions with a common denominator by finding the least common multiple of their denominators, which is 12, resulting in the equivalent fractions 3/12 and 2/12.

Step-by-step explanation:

To change the fractions 1/4 and 1/6 to equivalent fractions with a common denominator, first we must find the least common multiple of the denominators 4 and 6. The least common multiple (LCM) of 4 and 6 is 12. So, we convert each fraction to an equivalent fraction with a denominator of 12.

• Multiply both the numerator and denominator of 1/4 by 3 to get an equivalent fraction: (1 × 3) / (4 × 3) = 3/12.
• Multiply both the numerator and denominator of 1/6 by 2 to get an equivalent fraction: (1 × 2) / (6 × 2) = 2/12.

Now, we have equivalent fractions 3/12 and 2/12 with the common denominator of 12.