Math Problem Statement

How to interpret a diagram showing fractions, specifically \(\frac{1}{6}\) and \(\frac{1}{3}\), in shaded and non-shaded sections?

Solution

The image you've uploaded seems to show fractions inside shaded and non-shaded rectangles. It appears that each of the smaller sections is labeled with fractions, specifically 16\frac{1}{6}, and there is a row with two larger sections labeled 13\frac{1}{3}. It seems to represent how a whole can be divided into fractional parts.

Here is an interpretation:

  • The upper part shows 6 small boxes, each labeled 16\frac{1}{6}, and 4 of them are shaded.
  • The lower part has two larger boxes, each labeled 13\frac{1}{3}, and none of them are shaded.

Key idea:

  • 13\frac{1}{3} is equivalent to two 16\frac{1}{6} parts because 13=26\frac{1}{3} = \frac{2}{6}. The shaded region (46\frac{4}{6}) is equivalent to 23\frac{2}{3}.

Would you like further details or have any specific questions about this concept?

Related questions:

  1. What is the sum of the shaded fractions in the top part?
  2. How can you express 13\frac{1}{3} in terms of sixths?
  3. How do you add fractions with different denominators?
  4. What is the total of all the parts in the top section?
  5. How would you visually represent the addition of two fractions like 16+13\frac{1}{6} + \frac{1}{3}?

Tip:

When comparing or adding fractions, always try to express them with a common denominator to make calculations easier!

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Math Problem Analysis

Mathematical Concepts

Fractions
Part-to-whole relationships
Equivalent Fractions

Formulas

\(\frac{1}{3} = \frac{2}{6}\)
Addition of fractions: \(a/b + c/d = (ad + bc)/(bd)\)

Theorems

Equivalent Fractions
Fraction Addition with Common Denominators

Suitable Grade Level

Grades 3-5