Math Problem Statement
Find the LCD of 1/3 and 2/7.
Solution
The image asks to find the least common denominator (LCD) of the fractions and .
Steps to find the LCD:
- Identify the denominators: The denominators are 3 and 7.
- Find the Least Common Multiple (LCM) of the denominators:
- The prime factors of 3 are .
- The prime factors of 7 are .
- Since 3 and 7 are both prime numbers, the LCM is simply .
Answer:
The least common denominator (LCD) of and is 21.
Would you like to go into more detail or have any questions?
Here are 5 related questions that might interest you:
- How do you find the LCM of more than two numbers?
- What is the difference between the LCD and LCM?
- How can you add or subtract fractions with different denominators?
- What are some methods to find the LCM of larger numbers?
- Can the LCD ever be smaller than any of the original denominators?
Tip: When finding the LCD, always look for the smallest common multiple of all the denominators involved.
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Math Problem Analysis
Mathematical Concepts
Fractions
Least Common Denominator (LCD)
Least Common Multiple (LCM)
Formulas
LCM of denominators is the product of denominators if they are co-prime
Theorems
Prime Factorization
Suitable Grade Level
Grades 5-7