Math Problem Statement

Answer number 1

Write a proper or improper fraction and a mixed number to express the number of cupcakes for each kind.

Solution

Let’s analyze and solve question 1 from the image.

Step 1: Count the cupcakes for each kind:

  • Pink cupcakes: 5
  • Yellow cupcakes: 3
  • Chocolate cupcakes: 8

Step 2: Write fractions and mixed numbers:

For each kind, we express the count of cupcakes as fractions and, where needed, as mixed numbers.

  1. Pink cupcakes:

    • Fraction: 51\frac{5}{1} (already in simplest form as an improper fraction).
    • Mixed number: 55.
  2. Yellow cupcakes:

    • Fraction: 31\frac{3}{1} (simplest form as an improper fraction).
    • Mixed number: 33.
  3. Chocolate cupcakes:

    • Fraction: 81\frac{8}{1} (simplest form as an improper fraction).
    • Mixed number: 88.

Final Answer:

  • Pink cupcakes: 51\frac{5}{1} or 55
  • Yellow cupcakes: 31\frac{3}{1} or 33
  • Chocolate cupcakes: 81\frac{8}{1} or 88

Would you like details about the next question or have any further questions?

Related Questions:

  1. How can we simplify fractions into mixed numbers?
  2. What are the differences between proper and improper fractions?
  3. How do we handle cases where fractions aren’t in simplest form?
  4. Can we represent a count less than 1 as a fraction? How?
  5. Why is x1\frac{x}{1} already a simplest fraction?

Tip: Always double-check the total number of items when calculating fractions to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Counting

Formulas

Fraction: Numerator / Denominator
Mixed Number: Whole Number + Fraction

Theorems

Definition of proper and improper fractions

Suitable Grade Level

Grades 4-6