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 [tex]4\frac{1}{2}[/tex] yards?
Let us convert [tex]4\frac{1}{2}[/tex] into improper fraction as:
[tex]4\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}[/tex]
Now, we will use proportions to solve our given problem as:
[tex]\frac{\text{Inches}}{\text{Yard}}=\frac{180}{5}[/tex]
[tex]\frac{\text{Inches}}{\text{Yard}}=36[/tex]
[tex]1\text{ Yard}=36\text{ Inches}[/tex]
To find number of inches in 9/2 yards, we will multiply 9/2 by 36 as:
[tex]\frac{9}{2}\text{ Yards}=\frac{9}{2}\times 36\text{ Inches}[/tex]
[tex]\frac{9}{2}\text{ Yards}=9\times 18\text{ Inches}[/tex]
[tex]\frac{9}{2}\text{ Yards}=162\text{ Inches}[/tex]
Therefore, there are 162 inches in [tex]4\frac{1}{2}[/tex] yards.
