Let's add same-sized fractions. This means we're adding fractions that have the same denominator.
What is 1/8 + 1/8 + 1/8? The denominator 8 tells us the size of the parts we're working with. In this case, they are eighs. The numerator tells us how many of those parts we have. We're starting with one part, then adding another, and then one more. Since all the parts are the same size, we can add the numerators. 1 + 1 + 1 equals 3. So we have three of these eighth sized parts.
The result is 3/8. Let's look at a different problem. What is 26 + 1/16th? The denominator is 16. We are adding two of these parts plus one more. Since the fractions have the same denominator, we can add the numerators. 2 + 1 = 3. The denominator stays the same because the size of the parts isn't changing. So the answer is 316.
Next, let's add 416 and 216. Again, the denominators of both fractions are the same. We can add the numerators to find the total number of parts we have. 4 + 2 = 6. So, 46 + 26 is 616.
When adding fractions that have the same denominator, we add the numerators to find our total. The denominator stays the same since each part is the same size. Let's apply this idea to adding fractions without visual models. First, 27th + 37. The denominators are both 7, so the parts are the same size. We add the numerators. 2 + 3 = 5. The correct answer is 57th.
Next, what fraction + 1/10th = 9/10? Since 1 + 8 = 9, then the second fraction must be 8/10.
What two fractions when added make 68? We need to add fractions with the same denominators. So the denominators must both be 8. Next, we can add 4 and 2 to equal 6. So the missing fractions are 4/8 and 28.
When the denominators of the fractions you're adding are the same, you add the numerators together to find the new numerator. The denominator of the answer stays the same because each part is the same size.
