Solve 1/8 + 6/8: Adding Fractions with Common Denominators

Question

18+68= \frac{1}{8}+\frac{6}{8}=

Video Solution

Solution Steps

00:04 Let's solve this problem together.
00:07 Color the right number of squares based on the data we have.
00:18 Now, count them and add to our new fraction's top number, or numerator.
00:23 The bottom number, or denominator, is how many cells we divided.
00:28 And that's how we find our solution!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify that both fractions have the same denominator.
  • Step 2: Add the numerators of the two fractions.
  • Step 3: Keep the common denominator unchanged.
  • Step 4: Express the result as a simplified fraction if necessary.

Now, let's work through each step:
Step 1: Both fractions are 18\frac{1}{8} and 68\frac{6}{8}, with a common denominator of 8.
Step 2: Add the numerators: 1+6=71 + 6 = 7.
Step 3: Use the common denominator to create the sum: 78\frac{7}{8}.
Step 4: The fraction 78\frac{7}{8} is already in its simplest form, as 7 and 8 have no common factors other than 1.

Therefore, the solution to the problem is 78 \frac{7}{8} .

Answer

78 \frac{7}{8}