Math Problem Statement

1/6 compared to 1/4

Solution

To compare 16\frac{1}{6} and 14\frac{1}{4}, we need to express them with a common denominator. The least common denominator (LCD) of 6 and 4 is 12.

We can convert both fractions as follows:

  • 16=212\frac{1}{6} = \frac{2}{12} (Multiplying both numerator and denominator by 2)
  • 14=312\frac{1}{4} = \frac{3}{12} (Multiplying both numerator and denominator by 3)

Now, we can clearly see that:

  • 212\frac{2}{12} (or 16\frac{1}{6}) is smaller than 312\frac{3}{12} (or 14\frac{1}{4}).

So, 16\frac{1}{6} is less than 14\frac{1}{4}.

Would you like more details or have any questions about comparing fractions?

Here are 5 related questions:

  1. How do you find the least common denominator (LCD) of two fractions?
  2. What is the difference between equivalent fractions and simplified fractions?
  3. How do you convert improper fractions to mixed numbers?
  4. How can you add or subtract fractions with different denominators?
  5. Can you compare fractions with different denominators without converting them?

Tip: When comparing fractions, always convert them to a common denominator to make the comparison easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Comparing Fractions
Common Denominators

Formulas

Finding Least Common Denominator (LCD)

Theorems

Comparing fractions by converting them to a common denominator

Suitable Grade Level

Grades 4-6