Question

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

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

$\begin{array}{c}1\frac{1}{2}=\frac{3}{2}\\ =1.5yard\end{array}$

$\begin{array}{c}4\frac{1}{3}=\frac{13}{3}\\ =4.3feet\end{array}$

Since 1yard =3 feet

$\begin{array}{c}1.5yard=1.5\times 3\\ =4.5feet\end{array}$

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.