What is the combined value of the fractions 1/4 and 1/3 after finding a common denominator?

To find the combined value of the fractions 1/4 and 1/3, it is essential to identify a common denominator. The denominators in this case are 4 and 3. The least common multiple of these numbers is 12, which will serve as the common denominator for both fractions.

Next, each fraction needs to be converted to have this common denominator:

• For 1/4: To convert this to twelfths, multiply both the numerator and the denominator by 3. This results in (1 × 3) / (4 × 3) = 3/12.

• For 1/3: To convert this to twelfths, multiply both the numerator and the denominator by 4. This results in (1 × 4) / (3 × 4) = 4/12.

Now that both fractions are expressed with a common denominator, they can be combined. Adding the numerators together gives us 3 + 4 = 7. The denominator remains 12, so the combined value is 7/12.

This means that the correct answer, which is 7/12, is found by properly converting each fraction to a common denominator and then summing them