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ankoles [38]
3 years ago
9

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.
Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

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.

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