What is the result of adding 4/7 and 1/3 together?

• A. 17/21
• B. 19/21
• C. 22/21
• D. 20/21

Answer: (B)

To determine the result of adding 4/7 and 1/3, we first need to find a common denominator for the fractions. The denominators here are 7 and 3. The least common multiple (LCM) of these two numbers is 21.

Next, we convert each fraction to have this common denominator:

For 4/7, we can multiply both the numerator and the denominator by 3:

(4 * 3) / (7 * 3) = 12/21.

For 1/3, we multiply both the numerator and the denominator by 7:

(1 * 7) / (3 * 7) = 7/21.

Now, we can add these two fractions together:

12/21 + 7/21 = (12 + 7) / 21 = 19/21.

Thus, the result of adding 4/7 and 1/3 is 19/21, which is why this answer is correct.