Chapter 5: Q62. (page 226)

You have a rope that is $4 \frac{1}{3}$ feet long. Your friend has a rope that is $1 \frac{1}{2}$ yards long. Who has the longer rope?

Short Answer

Expert verified

The longer rope is $1 \frac{1}{2}$ yard.

Step by step solution

Step 1. Given information

A rope of length $4 \frac{1}{3}$ feet and another rope of $1 \frac{1}{2}$ yard are given.

Step 2. Calculation

Convert the rope lengths into decimal numbers

$\begin{matrix} 1 \frac{1}{2} = \frac{3}{2} \\ = 1.5 y a r d \end{matrix}$

$\begin{matrix} 4 \frac{1}{3} = \frac{13}{3} \\ = 4.3 f e e t \end{matrix}$

Since 1yard =3 feet

$\begin{matrix} 1.5 y a r d = 1.5 \times 3 \\ = 4.5 f e e t \end{matrix}$

Compare 4.5 and 4.5 as follows:

$4.5 > 4.3$

Therefore, your friend has the longer rope which is $1 \frac{1}{2}$ yard.

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You have a rope that is $4 \frac{1}{3}$ feet long. Your friend has a rope that is $1 \frac{1}{2}$ yards long. Who has the longer rope?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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One App. One Place for Learning.

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You have a rope that is $4 \frac{1}{3}$ feet long. Your friend has a rope that is $1 \frac{1}{2}$ yards long. Who has the longer rope?