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 13\frac{1}{3} and 27\frac{2}{7}.

Steps to find the LCD:

  1. Identify the denominators: The denominators are 3 and 7.
  2. Find the Least Common Multiple (LCM) of the denominators:
    • The prime factors of 3 are 33.
    • The prime factors of 7 are 77.
    • Since 3 and 7 are both prime numbers, the LCM is simply 3×7=213 \times 7 = 21.

Answer:

The least common denominator (LCD) of 13\frac{1}{3} and 27\frac{2}{7} is 21.

Would you like to go into more detail or have any questions?

Here are 5 related questions that might interest you:

  1. How do you find the LCM of more than two numbers?
  2. What is the difference between the LCD and LCM?
  3. How can you add or subtract fractions with different denominators?
  4. What are some methods to find the LCM of larger numbers?
  5. 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