To plot these numbers on the given umber line, we need to identify where they would be on the number line
The number 2 3/8 is between 2 and 3 while the number 1 3/4 is between the 1 and 2
Now, we need to identify each of the small points between the numbers
Between two numbers on the line, we can count 7 small lines and a total of 8 spaces
Now to get what each of the small lines represent, we need to divide 1 by the number of spaces.
What this mean is that each of this small numbers between each of the big digits represent the fraction 1/8
Now, recall, we know that 2 3/8 is between 2 and 3, to identify the exact place to position it, divide the fractional part by 1/8
What this mean is that we have 3/8 divided by 1/8 = 3/8 * 8/1 = 3
So what this means is that the number 2 3/8 is on the third small line after 2 (between 2 and 3)
For 1 3/4, we know that the number is between 3 and 4
To know thw exact spot, we find the division of the fractional part by 1/8
Mathematically, that will be 3/4 divided by 1/8 = 3/4 * 8/1 = 6
So this mean it is on the sixth small line after 1 (between 1 and 2)