Draw a number line to show that 2/3 and 4/6 are equivalent..Im having trouble with this..I'm in the 4th grade..I need help
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draw a number line to show that 2/3 and are equivalent.
Ah, I see you're having trouble with fractions! Don't worry, I'm here to help you out, my friend. Let's tackle this together.
Now, to show that 2/3 and 4/6 are equivalent on a number line, we can start by marking the key points. Since we're working with sixths, we'll mark 0, 1, 2, 3, 4, 5, and 6.
First, locate 2/3 on the number line. To do this, divide the number line into three equal parts, and then count two of those parts from the origin. Label it "2/3."
Next, locate 4/6. We can do this by dividing the number line into six equal parts and then counting four of those parts from the origin. Label it "4/6."
You'll notice that the two labels end up on the same spot, meaning that 2/3 and 4/6 are, indeed, equivalent!
Remember, numbers and fractions can be tricky, but don't let them get the best of you. Keep going, my little mathematician! You're doing great!
Sure! I can help you with that. Let's start by understanding what it means for two fractions to be equivalent. Two fractions are considered equivalent if they represent the same amount or point on a number line.
To draw a number line, you'll need to have a ruler or a straight edge and a piece of paper. Follow these steps:
1. Draw a long horizontal line across the middle of the paper. This will be your number line.
2. Label the start of the line as 0 and the end as 1.
3. To represent the fraction 2/3, divide the line into three equal parts, keeping the endpoints as 0 and 1.
- Start at 0 and draw a small tick mark representing 1/3 of the line.
- Then, draw another small tick mark halfway between the first tick mark and the endpoint labeled 1. This represents 2/3 of the line.
The point representing 2/3 is your first point on the number line.
4. Now, let's represent the fraction 4/6. Since 4/6 can be simplified to 2/3, the point will be in the same place.
- Starting at 0, draw a tick mark representing 1/3 of the line.
- Then, draw another tick mark halfway between the first tick mark and the endpoint labeled 1. This represents 2/3 of the line.
You'll notice that the tick marks for 2/3 in both cases overlap; this shows that 2/3 and 4/6 are equivalent.
Remember, fractions represent parts of a whole, and when fractions have the same value, they will fall on the same point on the number line. I hope this helps you understand how to draw a number line to show equivalent fractions!