Problem

5. Susan and her friends are making a crazy-quilt. They need four yards of fabric to make the quilt. Susan has $1 \frac{1}{3}$ yards of fabric. One friend has $\frac{5}{6}$ of a yard, and another friend has $\frac{3}{4}$ of a yard. The last friend has $\frac{13}{12}$ of a yard. Do the friends have enough fabric to make a quilt? If not, how much more fabric is needed to complete the quilt?
no, $\frac{1}{4}$ more yards
no, $\frac{5}{12}$ more yards
no, $\frac{3}{8}$ more yards
yes

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The friends have enough fabric to make the quilt. So, the answer is \(\boxed{\text{yes}}\).

Steps

Step 1 :First, we need to calculate the total amount of fabric that Susan and her friends currently have. We can do this by adding up all the fractions: \(\frac{4}{3} + \frac{5}{6} + \frac{3}{4} + \frac{13}{12}\).

Step 2 :Then, we need to subtract this total from the amount of fabric needed to make the quilt, which is 4 yards. If the result is positive, then they do not have enough fabric and the result is the amount of fabric they still need. If the result is negative or zero, then they have enough fabric.

Step 3 :Final Answer: The friends have enough fabric to make the quilt. So, the answer is \(\boxed{\text{yes}}\).

link_gpt