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The problem asks for the total number of yards needed to make a quilt. Here’s a breakdown of the materials required, in fractional and whole numbers of yards:

- \( 1 \frac{1}{4} \) yards of white-on-white print
- \( 2 \) yards of blue check
- \( \frac{3}{4} \) yards of blue-and-white stripe
- \( 4 \frac{3}{4} \) yards of blue scraps
- \( \frac{3}{4} \) yards of yellow scraps
- \( 4 \frac{1}{8} \) yards of lining

To find the total yards needed, we will add these values together:

1. \( 1 \frac{1}{4} = \frac{5}{4} \)
2. \( 2 \) yards remains the same
3. \( \frac{3}{4} \) stays the same
4. \( 4 \frac{3}{4} = \frac{19}{4} \)
5. \( \frac{3}{4} \)
6. \( 4 \frac{1}{8} = \frac{33}{8} \)

Now let's calculate the total by adding these fractions. We will first convert all fractions to have a common denominator of 8. 

\[
\frac{5}{4} = \frac{10}{8}, \quad 2 = \frac{16}{8}, \quad \frac{3}{4} = \frac{6}{8}, \quad \frac{19}{4} = \frac{38}{8}, \quad \frac{3}{4} = \frac{6}{8}, \quad \frac{33}{8}
\]

Now, sum all the fractions:

\[
\frac{10}{8} + \frac{16}{8} + \frac{6}{8} + \frac{38}{8} + \frac{6}{8} + \frac{33}{8} = \frac{109}{8}
\]

Now, convert \( \frac{109}{8} \) to a mixed number:

\[
\frac{109}{8} = 13 \frac{5}{8}
\]

Thus, the total number of yards needed is **13 \( \frac{5}{8} \) yards**.

Would you like more details or have any questions? Here are some related questions to consider:

1. How can I add mixed numbers with different denominators?
2. What is the best way to convert improper fractions into mixed numbers?
3. How do you simplify fractions when adding multiple numbers?
4. What steps are involved in finding a common denominator?
5. Can this method be applied to larger or more complex quilting projects?

**Tip:** When working with fractions, converting everything to the same denominator first helps make addition much easier.

Quilters Newsletter Magazine gave instructions on making a quilt. The quilt required 1 1/4 yards of white-on-white print, 2 yards blue check, 3/4 yard blue-and-white stripe, 4 3/4 yards blue scraps, 3/4 yard yellow scraps, and 4 1/8 yards lining. How many total yards are needed?

Learn how to calculate the total yardage needed for a quilt by adding mixed numbers and fractions. This step-by-step solution breaks down the process of converting mixed numbers to improper fractions, finding common denominators, and adding fractions to find the total yards required.

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