Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find the least common denominator for these fractions. Enter your answer in the space provided.

[tex]\[ \frac{2}{7} \text{ and } \frac{2}{5} \][/tex]

Answer here:
[tex]\[\qquad\][/tex]


Sagot :

To find the least common denominator of the fractions [tex]\(\frac{2}{7}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex], we need to determine the least common multiple (LCM) of the denominators 7 and 5.

Step-by-Step Solution:

1. Identify the denominators:
- The denominators are 7 and 5.

2. Find the prime factors:
- 7 is already a prime number: 7
- 5 is already a prime number: 5

3. Calculate the least common multiple (LCM):
- The LCM is the smallest number that both denominators can divide into without leaving a remainder.
- Since 7 and 5 have no common factors other than 1, we simply multiply these denominators together.

[tex]\[ \text{LCM}(7, 5) = 7 \times 5 = 35 \][/tex]

Thus, the least common denominator for the fractions [tex]\(\frac{2}{7}\)[/tex] and [tex]\(\frac{2}{5}\)[/tex] is:

[tex]\[ \boxed{35} \][/tex]