Question

Carlos is helping his grandmother make a rug.They have 5 yards of fabric,which is equal to 180 inches.They need an additional of 4 1/2 yards of fabric to finish the trim.

Answer 1

Answer:

162 inches.

Step-by-step explanation:

Please consider the complete question.

Carlos is helping his grandmother make a rug. They have 5 yards of fabric, which is equal to 180 inches. They need an additional of 4 1/2 yards of fabric to finish the trim. How many inches are in $4\frac{1}{2}$ yards?

Let us convert $4\frac{1}{2}$ into improper fraction as:

$4\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}$

Now, we will use proportions to solve our given problem as:

$\frac{\text{Inches}}{\text{Yard}}=\frac{180}{5}$

$\frac{\text{Inches}}{\text{Yard}}=36$

$1\text{ Yard}=36\text{ Inches}$

To find number of inches in 9/2 yards, we will multiply 9/2 by 36 as:

$\frac{9}{2}\text{ Yards}=\frac{9}{2}\times 36\text{ Inches}$

$\frac{9}{2}\text{ Yards}=9\times 18\text{ Inches}$

$\frac{9}{2}\text{ Yards}=162\text{ Inches}$

Therefore, there are 162 inches in $4\frac{1}{2}$ yards.