What is 5/14 + 6/7?

• A. 1
• B. 1 1/14
• C. 1 7/14
• D. 1 3/14

Answer: (D)

When adding fractions with different denominators, start by making the denominators the same. The denominators here are 14 and 7, and 7 fits into 14, so convert 6/7 to a fraction with denominator 14: 6/7 equals 12/14. Now you have 5/14 + 12/14, which adds to 17/14.

Since 17/14 is an improper fraction, turn it into a mixed number: 14 goes into 17 once, leaving a remainder of 3. So it becomes 1 and 3/14, written as 1 3/14.

A quick check helps: 5/14 ≈ 0.357 and 6/7 ≈ 0.857; together they’re about 1.214, which matches 1 3/14 (1.214...). The other sums would correspond to different numbers (like 1, 15/14, or 21/14), so they don’t match the actual total.