Draw q number line to show these fraction are equivalent 3/4=6/8 and 1/4=2/8
To draw a number line that shows the equivalence of the given fractions, follow these steps:
1. Start by drawing a horizontal line.
2. Label the line with numbers, starting from 0 on the left and extending to a reasonable range based on the fractions you want to represent. For example, you can label the line from 0 to 8, ensuring there is enough space between each number.
3. Locate the point representing 3/4. To do this, first find the halfway point between 0 and 1 (which is 1/2) and mark it on the number line. Then find the point two-thirds of the way between 1/2 and 1, and mark it as 3/4.
4. Locate the point representing 6/8. Since this fraction is equivalent to 3/4, it should be at the same point on the number line. Mark it there.
5. Next, locate the point representing 1/4. This will be the halfway point between 0 and 1/2. Mark it on the number line.
6. Finally, locate the point representing 2/8. Since this fraction is equivalent to 1/4, it should be at the same point on the number line. Mark it there.
Your number line should now show the equivalent fractions:
0 -------- 1/2 ---- 1/4 ---- 3/4 ---- 1
---- 2/8 ---- 6/8
To show the equivalence of these fractions on a number line, follow these steps:
Step 1: Draw a horizontal line and mark the starting point as 0.
Step 2: Divide the line into equal parts. In this case, since both fractions have denominators of 4 and 8, divide the line into 8 equal parts.
Step 3: Mark the point corresponding to the first fraction, 3/4. Count 3 units starting from 0 and mark the point.
Step 4: Mark the point corresponding to the second fraction, 6/8. Count 6 units starting from 0 and mark the point. You will notice that the two points coincide.
Step 5: Now mark the point corresponding to the third fraction, 1/4. Count 1 unit starting from 0 and mark the point.
Step 6: Mark the point corresponding to the fourth fraction, 2/8. Count 2 units starting from 0 and mark the point. Again, you will notice that the two points coincide.
Step 7: Connect the points marked for each fraction. You will see that the lines overlap, indicating that the fractions are equivalent.
Here is how the number line would look:
0---------------------1/8---------------------2/8---------------------3/8---------------------4/8---------------------5/8---------------------6/8---------------------7/8---------------------8/8
1/4--------------------2/8
3/4--------------------6/8