Whole numbers as fractions | Fractions | 3rd grade | Khan Academy | Summary and Q&A

TL;DR

Fractions represent parts of a whole, while whole numbers represent complete units.

Key Insights

• 🥳 Fractions represent parts of a whole, while whole numbers represent complete units.
• #️⃣ The numerator of a fraction indicates the number of shaded sections, and the denominator represents the total number of equal sections.
• 😫 Whole numbers can be represented as fractions by setting the numerator and denominator to the same value.
• 🙈 Fractions with a numerator larger than the denominator can be seen as division or multiples of whole numbers.

Transcript

Let's say that this circle right over here represents one whole. And we've divided this circle into one, two, three, four, five equal sections. So each of these sections represents 1/5 of the circle. And we've seen this already. 1/5, 1/5, 1/5, and 1/5. And if we were to then color in some of this-- So, let's say we were to color in three of these s... Read More

Questions & Answers

Q: What does a fraction represent?

A fraction represents a part of a whole, with the numerator indicating the number of shaded sections and the denominator representing the total number of equal sections.

Q: How is a whole number represented as a fraction?

A whole number can be represented as a fraction by setting the numerator and denominator to be the same value, indicating that the entire whole is shaded in.

Q: How can fractions with a numerator larger than the denominator be interpreted?

Fractions with a numerator larger than the denominator can be interpreted as division, where the numerator is divided by the denominator to give the result. They can also be seen as multiples of whole numbers.

Q: How does the number line illustrate the concept of fractions and whole numbers?

On a number line, each whole number represents a complete unit, and fractions can be visualized as distances from zero, with the numerator indicating the number of jumps and the denominator representing the size of each jump.

Summary & Key Takeaways

• Fractions represent parts of a whole, with the numerator indicating how many parts are shaded in and the denominator representing the total number of equal sections.

• Whole numbers represent complete units, where the numerator is equal to the denominator and represents the total number of shaded sections.

• Fractions with a numerator larger than the denominator can be represented as division or multiples of whole numbers.