To draw a horizontal number line with the given fractions, we can follow these steps:
1. Start by marking a point for the whole number part, which is 2 in this case. You can label it on the number line.
2. Divide the space between the whole numbers into equal parts. For example, if you want to divide it into 5 equal parts, you would make 4 equally spaced marks.
3. For each fraction, locate the corresponding point on the number line. To do this, divide the space between the marks you made in step 2 into the appropriate number of equal parts based on the denominator of the fraction.
Now, let's apply these steps to the given fractions:
- 2 4/5: Since the denominator is 5, divide the space between the whole numbers into 5 equal parts. Then locate the point 4/5 of the way between 2 and 3.
- 2 3/20: Since the denominator is 20, divide the space between the whole numbers into 20 equal parts. Then locate the point 3/20 of the way between 2 and 3.
- 2 1/2: Since the denominator is 2, divide the space between the whole numbers into 2 equal parts. Then locate the point halfway between 2 and 3.
- 2 11/20: Since the denominator is 20, divide the space between the whole numbers into 20 equal parts. Then locate the point 11/20 of the way between 2 and 3.
- 2 9/20: Since the denominator is 20, divide the space between the whole numbers into 20 equal parts. Then locate the point 9/20 of the way between 2 and 3.
Once you have located each point, label them on the number line accordingly. You should end up with a horizontal number line showing the given fractions in their correct positions.