Alisha

Alisha needs 7 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 1 1/2 yards and another piece of fabric that is 3 1/4 yards. How many more yards of fabric does she need to make a quilt?

Correct answer:

x =  2 ³⁄₄ = 11/4 yd

Step-by-step explanation:

$$\begin{gathered} q=7\frac{1}{2}=7+\frac{1}{2}=\frac{7\cdot 2+1}{2}=\frac{14+1}{2}=\frac{15}{2}=7.5\text{yd} \\ a=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1.5\text{yd} \\ b=3\frac{1}{4}=3+\frac{1}{4}=\frac{3\cdot 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}=3.25\text{yd} \\ x=q-a-b=\frac{15}{2}-\frac{3}{2}-\frac{13}{4}=\frac{30}{4}-\frac{6}{4}-\frac{13}{4}=\frac{30-6-13}{4}=\frac{11}{4}=\frac{11}{4}\text{yd}=2\frac{3}{4}\text{yd}=2.75\text{yd} \end{gathered}$$

Try another example