allison is making a 16 inch necklace. the first 41/4 inches are filled with red beads and 8 3/8 inches are filled with blue beads. how many inches are filled with beads?

4 2/8 + 8 3/8 - ?

To find out how many inches are filled with beads, we need to add the lengths of the red and blue beads.

The length of the red beads is 4 1/4 inches.

The length of the blue beads is 8 3/8 inches.

To add these lengths, we need to convert the fractions to a common denominator.

4 1/4 inches = 16/4 + 1/4 = 17/4 inches

8 3/8 inches = 32/8 + 3/8 = 35/8 inches

Now we can add the lengths:

17/4 inches + 35/8 inches

To add these fractions, we need to convert them to have the same denominator:

17/4 inches = 34/8 inches

Now we can sum the fractions:

34/8 inches + 35/8 inches = 69/8 inches

So, 69/8 inches of the necklace are filled with beads.

However, we can simplify this fraction:

69/8 inches = 8 5/8 inches

Therefore, 8 5/8 inches of the necklace are filled with beads.

To find the total number of inches filled with beads, we need to add the lengths of the sections filled with red and blue beads.

First, we have 4 1/4 inches filled with red beads, which can be written as a mixed number: 4 + 1/4 = 4 1/4.

Next, we have 8 3/8 inches filled with blue beads, which can also be written as a mixed number: 8 + 3/8 = 8 3/8.

To add 4 1/4 inches and 8 3/8 inches, we first need to convert the fractions to a common denominator, which, in this case, is 8.

To convert 1/4 to eighths, we multiply the numerator (1) by 2, and to convert 3/8 to eighths, we multiply the numerator (3) by 1.

Therefore, 1/4 becomes 2/8, and 3/8 remains the same.

Now that we have both fractions with a common denominator, we can add them:

4 2/8 + 8 3/8 = (4 + 8) + (2 + 3)/8 = 12 + 5/8.

So, the total number of inches filled with beads is 12 5/8 inches.