Use anumber line to prove 1/4=2/8=4/16
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To prove that 1/4 = 2/8 = 4/16 using a number line, we need to demonstrate that each fraction falls at the same point on the number line. Here's how we can do that:
Step 1: Draw a number line. Label it from 0 to 1 to cover the range of fractions we are working with.
Step 2: Locate the point corresponding to 1/4 on the number line. To do this, divide the number line into four equal parts. The point for 1/4 will fall at the first division.
Step 3: Next, locate the point corresponding to 2/8. Since 2/8 is equivalent to 1/4, it should fall at the same point as 1/4 on the number line.
Step 4: Finally, locate the point corresponding to 4/16. Since 4/16 is equivalent to 1/4 (both fractions can be simplified to 1/4), it should fall at the same point as 1/4 and 2/8 on the number line.
By following these steps and observing that all three fractions fall at the same point on the number line, we can conclude that 1/4 = 2/8 = 4/16.