Final answer:
To find 4/7 + 1/3, we find a common denominator, which is 21, convert each fraction, and then add them to get the final sum of 19/21.
Step-by-step explanation:
The student is asking to calculate the sum of two fractions, 4/7 and 1/3. To add these fractions, we must first find a common denominator. The smallest common denominator for 7 and 3 is 21. We then convert each fraction to an equivalent fraction with a denominator of 21:
- 4/7 becomes (4×3)/(7×3) = 12/21
- 1/3 becomes (1×7)/(3×7) = 7/21
Now we can add the numerators while keeping the denominator the same:
12/21 + 7/21 = (12 + 7)/21 = 19/21.
The sum of 4/7 and 1/3 is 19/21.