the number line below shows an estimate for the sum of 6/13 and 1/8. explain why the sum is greater than 1/2.
2019 anyone?
To estimate the sum of 6/13 and 1/8, you can use a number line. Here's how you can do it:
1. Draw a number line that spans from 0 to 1.
2. Divide the number line into equal intervals. For simplicity, you can divide it into 8 equal intervals since the denominator of 1/8 is 8.
3. Mark the point on the number line that represents 6/13. To do this, start from 0 and count 6 equal intervals.
4. Now, mark the point on the number line that represents 1/8. To do this, start from the previous point and count 1 equal interval.
5. Now, look at the position of both points on the number line. You will notice that the point representing 6/13 is to the left of the point representing 1/8.
6. Since the number line increases from left to right, this indicates that 6/13 is smaller than 1/8.
7. Therefore, when you add 6/13 and 1/8, the sum will be greater than 1/8.
In summary, using a number line estimation, you can see that the sum of 6/13 and 1/8 is greater than 1/8, which means it is also greater than 1/2.
6/13 = 48/104
1/8 = 13/104
13/104 + 48/104 > 52/104