(a) How many quarters are there in one whole?

(b) How many halves make one whole?

(c) How many one-third parts make one whole?

To tackle your questions about fractions and how they relate to a whole, let's break it down step by step. Understanding these basic concepts will help you grasp more complex mathematical ideas later on.

Quarters in a Whole

When we talk about quarters, we're referring to the fraction 1/4. To find out how many quarters make up one whole, we can think of it like this:

• One whole can be divided into four equal parts.
• Each of these parts is a quarter.

Therefore, there are 4 quarters in one whole. This means if you have a pizza and you cut it into four equal slices, each slice represents one quarter of the pizza.

Halves and Wholes

Next, let’s consider halves. A half is represented by the fraction 1/2. To determine how many halves make a whole, we can visualize it as follows:

• One whole can be split into two equal parts.
• Each part is a half.

This leads us to the conclusion that 2 halves make one whole. Imagine a chocolate bar: if you break it into two equal pieces, each piece is a half of the whole bar.

One-Third Parts in a Whole

Now, let’s look at one-third parts. A third is represented by the fraction 1/3. To find out how many one-third parts make up a whole, consider the following:

• One whole can be divided into three equal sections.
• Each section is a third.

Thus, we can say that 3 one-third parts make one whole. Think of a cake divided into three equal slices; each slice is one-third of the entire cake.

Summary of Fraction Relationships

In summary:

• 4 quarters = 1 whole
• 2 halves = 1 whole
• 3 one-thirds = 1 whole

Understanding these relationships helps build a strong foundation in fractions, which is essential for more advanced math concepts. If you have any more questions or need further clarification, feel free to ask!