## Elementary Algebra

Beth needs $\frac{17}{8}$ yards of fabric.
A 12'' round pillow needs $\frac{1}{2}$ yard of fabric An 18'' square pillow needs $\frac{3}{4}$ yard of fabric A 12'' $\times$ 16'' rectangular pillow needs $\frac{7}{8}$ yards of fabric To find how much fabric is needed, we add: $\frac{1}{2}$ + $\frac{3}{4}$ + $\frac{7}{8}$ = As we can see, the LCD is 8, so we need to make all the denominators 8: $\frac{1 \times 4}{2 \times 4}$ + $\frac{3 \times 2}{4 \times 2}$ + $\frac{7}{8}$ = $\frac{4}{8}$ + $\frac{6}{8}$ + $\frac{7}{8}$ = We add the numerators when the denominators are the same. $\frac{4 + 6 + 7}{8}$ = $\frac{17}{8}$ yards of fabric.