Explain how you can use a number line to show that 3/6 and 1/2 are equivalent fractions.
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To use a number line to show that 3/6 and 1/2 are equivalent fractions, follow these steps:
1. Draw a horizontal line on a piece of paper, representing the number line.
2. Divide the line into six equal segments (or mark six equally spaced points) to represent the whole number.
3. Label the segments or points from left to right as 1, 2, 3, 4, 5, and 6.
4. Now, select the segment or point that corresponds to 3 on the number line.
5. Place a dot or mark on this segment to represent the fraction 3/6.
6. Next, locate the segment or point that corresponds to 2 on the number line.
7. Place a dot or mark on this segment to represent the fraction 1/2.
After following these steps, you will notice that both 3/6 and 1/2 have dots or marks on the same segment (or point) of the number line. This indicates that they are equivalent fractions since they represent the same position on the number line.
mark it off in units of both 1/6
you know that 3+3=6, so as you count off the marks, when you get to 3/6, you are half the way to 1.