Math Problem Statement
Find the lcd of 1-3 and 2-7
Solution
The terms you've provided, "1-3" and "2-7," appear to be fractions written as "1/3" and "2/7." To find the least common denominator (LCD) of these two fractions, we follow these steps:
- Identify the denominators: The denominators are 3 and 7.
- Find the least common multiple (LCM) of these denominators.
The LCM of 3 and 7 is 21 because 3 and 7 are both prime numbers, and their product (3 × 7 = 21) is the smallest number that both 3 and 7 divide evenly into.
Thus, the least common denominator (LCD) of 1/3 and 2/7 is 21.
Would you like more details or have any questions about this process?
Here are 5 related questions:
- How do you convert fractions to have the same denominator?
- How do you add or subtract fractions with different denominators?
- What is the greatest common divisor (GCD) and how is it different from the LCM?
- How do you simplify fractions after finding a common denominator?
- How can you determine the LCD of three or more fractions?
Tip: When finding the least common denominator, it's useful to break the denominators into their prime factors, making it easier to identify the LCM.
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Math Problem Analysis
Mathematical Concepts
Fractions
Least Common Denominator (LCD)
Least Common Multiple (LCM)
Formulas
LCM of denominators = Least Common Denominator (LCD)
Theorems
The Least Common Multiple (LCM) Theorem
Suitable Grade Level
Grades 4-6
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