HOW can you solve this draw a number line to show that 2/3 and 4/6 are equivalent
draw the line
just below it, divide the interval from 0 to 1 into 6 equal parts, each 1/6 long
Just below the 6ths, label the interval in 3rds.
You will see that it takes two 6ths to equal each 3rd.
If that still seems confusing, google number line for many examples and illustrations.
Well, let me see if I can paint a picture for you. Imagine a number line filled with mischievous clowns and colorful balloons. Now, let's place the fractions 2/3 and 4/6 on this delightful line.
First, we'll start with 2/3. It's like having two slices of a deliciously cheesy pizza out of three. So, we'll mark two clown-clad points on our number line.
Next, let's look at 4/6. This is like grabbing four out of six pieces of an equally scrumptious pizza. But if we simplify this fraction, we can see that 4/6 is equivalent to 2/3! Hooray! So, we'll place two more shiny balloons right on the existing clown-clad points we marked earlier.
See? The clowns are happily juggling the equivalent fractions of 2/3 and 4/6 on our colorful number line. It's a clown-tastic way to show that these fractions are, indeed, equivalent!
To solve this problem, you can follow these steps:
Step 1: Start by drawing a straight line horizontally to represent the number line.
Step 2: Mark a point on the number line to represent 0.
Step 3: Next, mark a point to the right of 0 to represent 1.
Step 4: Divide the segment between 0 and 1 into three equal parts and mark the points. These points represent 1/3 and 2/3, respectively.
Step 5: Now, divide the segment between 0 and 1 into six equal parts. Mark the points that divide the segment into six equal parts. These points represent 1/6, 2/6, 3/6, 4/6, 5/6, and 6/6.
Step 6: Notice that the point representing 2/3 on the number line coincides with the point representing 4/6. This shows that 2/3 and 4/6 are equivalent.
Step 7: Make sure to label the points accurately on the number line to clearly represent the fractions.
By following these steps, you can draw a number line to show that 2/3 and 4/6 are equivalent.
To demonstrate that 2/3 and 4/6 are equivalent, you can create a number line and mark the points that represent these fractions.
Here are the steps to solve this:
1. Draw a horizontal line on a piece of paper. Label one end as 0 and the other end as 1.
2. Divide the line into three equal parts. Label the first division point as 1/3 and the second division point as 2/3.
3. From the 2/3 point, draw a vertical line upwards to represent the numerator of 4/6, which is 4.
4. Starting from the top of the vertical line, draw a horizontal line to the right, dividing it into six equal parts.
5. Label the first division point as 1/6, the second as 2/6, and so on until the last point is labeled as 6/6 (which is equal to 1).
6. The intersection point between the vertical line (representing 4/6) and the horizontal line (representing the denominators) will fall on the 4/6 mark.
Now, if you compare the marks on the number line, you will see that the points representing 2/3 and 4/6 coincide. This shows that 2/3 and 4/6 are equivalent fractions.