Let's learn how to add 1 3/4 + 2/4 using a number line step-by-step!
- Draw a number line: Draw a straight horizontal line and mark numbers starting from 0 to at least 3 because 1 3/4 + 2/4 is a bit more than 2.
- Mark 1 on the number line: Put a point or a mark at 1.
- Add the first fraction (3/4): Since 1 3/4 means 1 whole plus 3/4, from the point at 1, move 3 equal parts out of 4 towards the next whole number. So divide the space between 1 and 2 into 4 equal parts and move 3 parts forward. Mark this point as 1 3/4.
- Add the second fraction (2/4): From the 1 3/4 point, move forward 2 more parts out of 4. Again, divide the space between 1 3/4 and 2 into 4 equal parts and move 2 parts ahead.
- Find the final point: When you add 2/4 to 1 3/4, you pass 2 because 1 3/4 + 2/4 = 1 + (3/4 + 2/4) = 1 + 5/4.
- Convert 5/4 to a mixed number: 5/4 is 1 whole and 1/4, so adding it gives you 1 + 1 + 1/4 = 2 1/4.
- Mark 2 1/4 on the number line: This is the answer! You can confirm your result by noticing that after moving 3/4 plus 2/4 (which is 5/4), you have moved 1 1/4 units past 1, ending at 2 1/4.
So, 1 3/4 + 2/4 = 2 1/4.