Final answer:
The least common denominator for fractions with denominators of 13 and 29 is 377. This is calculated by multiplying the two prime numbers together since their least common multiple is their product.
Step-by-step explanation:
The question is asking for the least common denominator of two fractions with the denominators 13 and 29. To find the least common denominator, also known as the least common multiple (LCM) of the denominators, you must identify the smallest number that both denominators can divide into without leaving a remainder. In this case, since 13 and 29 are both prime numbers, their LCM is simply their product.
To calculate the least common denominator of 13 and 29:
- Multiply the two denominators together: 13 × 29.
- Calculate the product, which results in 377.
Therefore, the least common denominator for the fractions with denominators 13 and 29 is 377.