Descripe, in writing or pictures, how 7/3 compares to 2 1/3?
I'd draw 3 circles and divide each into thirds.
To compare 7/3 and 2 1/3, let's convert both fractions to a common denominator.
First, let's convert 2 1/3 to an improper fraction:
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now that both fractions have the same denominator of 3, we can compare them directly.
Graphically, you can represent the fractions on a number line as follows:
0 1 2 3 4 5 6 7
|-----------|-----------|-----------|-----------|-----------|-----------|-----------|
7/3
2 1/3
As you can see, 7/3 (which is the same as 2 1/3) is greater than 2 1/3.
To compare the fractions 7/3 and 2 1/3, we can convert both fractions into improper fractions and then compare them.
Step 1: Convert 2 1/3 to an improper fraction.
To do this, we multiply the whole number (2) by the denominator of the fraction (3) and add the numerator (1). This gives us:
2 * 3 + 1 = 6 + 1 = 7
So, 2 1/3 can be written as the improper fraction 7/3.
Step 2: Now, we have both fractions in the form of improper fractions.
7/3 and 7/3.
Since both fractions are the same, 7/3 is equal to 7/3.
Here's a visual representation to help you understand:
```
7
---
3
7
---
3
```
As you can see, both fractions have the same numerator (7) and denominator (3), which means they are equivalent.
So, in summary, 7/3 and 2 1/3 are equal.